Question 1

Solve the problem.
-Persons taking a 30-hour review course to prepare for a standardized exam average a score of 620 on that exam. Persons taking a 70-hour review course average a score of 793. Find a linear function S(t), which fits this data, And which expresses score as a function of time.

Accepted Answer

The answer of Solve the problem.
-Persons taking a 30-hour review...

Question 2

Write the word or phrase that best completes each statement or answers the question. Provide an appropriate response.
-The total number of reported cases of AIDS in the United States has risen from 372 in 1981 to 100,000 in 1989 and 200,000 in 1992. Does a linear equation fit this data? Why or why not?

Accepted Answer

The answer of Write the word or phrase that best...

Question 3

Solve the problem.
-In 1995 the United States recovered 27% of its municipal wastes through recycling, up from 17% in 1990. Let P represent the percentage recycled and t the number of years since 1990. Find a linear function P(t) that fits this Data. Use this function to predict the percentage recycled in 2003.

Accepted Answer

The slope of the line is (27-17)/5 = 2% per year. The y-intercept is 17%. So the equation of the line is P(t) = 2t + 17. In 2003, t = 13, so P(13) = 2(13) + 17 = 43%.

Question 4

Write the word or phrase that best completes each statement or answers the question. Provide an appropriate response.
-Can the point-slope equation be used to write an equation of a vertical line? Why or why not?

Accepted Answer

The answer of Write the word or phrase that best...

Question 5

Write the word or phrase that best completes each statement or answers the question. Provide an appropriate response.
-Describe a situation in which point-slope form would be more useful.

Accepted Answer

The answer of Write the word or phrase that best...

Question 6

Solve the problem.
-Persons taking a 30-hour review course to prepare for a standardized exam average a score of 620 on that exam. Persons taking a 70-hour review course average a score of 779. Find a linear function, S(t), which fits this data, And which expresses score as a function of time. Use this function to predict an average score for persons taking A 53-hour review course. Round your answer to the tenths place.

Accepted Answer

The answer of Solve the problem.
-Persons taking a 30-hour review...

Question 7

Solve the problem.
-A gas station sells 4820 gallons of regular unleaded gasoline on a day when they charge $1.35 per gallon, whereas they sell 3905 gallons on a day that they charge $1.40 per gallon. Find a linear function that expresses
Gallons sold as a function of price.

Accepted Answer

The answer of Solve the problem.
-A gas station sells 4820...

Question 8

Solve the problem.
-A gas station sells 4820 gallons of regular unleaded gasoline in a day when they charge $1.35 per gallon, whereas they sell 3900 gallons on a day that they charge $1.40 per gallon. Find a linear function that expresses Gallons sold as a function of price. Use this function to predict the number of gallons sold at a price of $1.20 per Gallon.

Accepted Answer

The answer of Solve the problem.
-A gas station sells 4820...

Question 9

Write the word or phrase that best completes each statement or answers the question. Provide an appropriate response.
-Without making a drawing, explain why the graph of the equation y = x - 5 passes through three quadrants.

Accepted Answer

The answer of Write the word or phrase that best...

Question 10

Write the word or phrase that best completes each statement or answers the question. Provide an appropriate response.
-Can an equation of a vertical line be written in slope-intercept form?

Accepted Answer

The answer of Write the word or phrase that best...

Question 11

Write an equation of the line described.
-Through (-9, -7), perpendicular to x = 8

Accepted Answer

The line x = 8 is a vertical line, so a line perpendicular to it would be a horizontal line. A horizontal line has the equation y = k, where k is the y-coordinate it passes through. Since the line passes through (-9, -7), the equation is y = -7.

Question 12

Solve the problem.
-The total sales made by a salesperson was $25,000 after 3 months and $68,000 after 23 months. Predict the total sales after 30 months.

Accepted Answer

The sales increase by $43,000 over 20 months, which is $2,150 per month. After 30 months, the sales would be $68,000 + (7 months * $2,150) = $83,050.

Question 13

Write the word or phrase that best completes each statement or answers the question. Provide an appropriate response.
-If one line has a slope of -3 and another line has a slope of -6, which line is steeper? Why?

Accepted Answer

The answer of Write the word or phrase that best...

Question 14

Solve the problem.
-In 1995 the United States recovered 23% of its municipal solid wastes through recycling, up from 17% in 1990. Let P represent the percentage recycled and t the number of years since 1990. Find a linear function P(t) that fits This data.

Accepted Answer

The linear function P(t) = 1.2t + 17 fits the given data because the slope (change in percentage per year) is (23% - 17%) / (1995 - 1990) = 6% / 5 years = 1.2% per year, and when t = 0 (the year 1990), P = 17%.

Quiz 8: Graphs, Functions, and Applications

Solve the problem. -Persons taking a 30-hour review course to prepare for a standardized exam average a score of 620 on that exam. Persons taking a 70-hour review course average a score of 793. Find a linear function S(t) , which fits this data, And which expresses score as a function of time.

Write the word or phrase that best completes each statement or answers the question. Provide an appropriate response. -Can the point-slope equation be used to write an equation of a vertical line? Why or why not?

Write the word or phrase that best completes each statement or answers the question. Provide an appropriate response. -Describe a situation in which point-slope form would be more useful.

Solve the problem. -A gas station sells 4820 gallons of regular unleaded gasoline on a day when they charge $1.35 per gallon, whereas they sell 3905 gallons on a day that they charge $1.40 per gallon. Find a linear function that expresses Gallons sold as a function of price.

Write the word or phrase that best completes each statement or answers the question. Provide an appropriate response. -Without making a drawing, explain why the graph of the equation y = x - 5 passes through three quadrants.

Write the word or phrase that best completes each statement or answers the question. Provide an appropriate response. -Can an equation of a vertical line be written in slope-intercept form?

Write an equation of the line described. -Through (-9, -7) , perpendicular to x = 8

Solve the problem. -The total sales made by a salesperson was $25,000 after 3 months and $68,000 after 23 months. Predict the total sales after 30 months.

Write the word or phrase that best completes each statement or answers the question. Provide an appropriate response. -If one line has a slope of -3 and another line has a slope of -6, which line is steeper? Why?

Solve the problem. -In 1995 the United States recovered 23% of its municipal solid wastes through recycling, up from 17% in 1990. Let P represent the percentage recycled and t the number of years since 1990. Find a linear function P(t) that fits This data.