Deck 4: Functions Given by Words

Question 1

The temperature of an oven remains constant at 391 degrees Fahrenheit.A potato is placed in the oven to bake.The difference between the temperature of the oven and that of the potato after t minutes in the oven is given by degrees Fahrenheit.Write a formula that gives the temperature T, in degrees Fahrenheit, of the potato after t minutes in the oven. ​

A)
B) ​
C) ​
D) ​

Answer 1

Question 2

Sugar costs $1.55 per pound, and lemons cost $0.47 each.You sell lemonade for $1.35 per glass.Write S for the pounds of sugar used, L for the number of lemons used, G for the number of glasses of lemonade you sell, and P for the profit, in dollars, you make.Express using a formula your profit in terms of pounds of sugar used, number of lemons used, and number of glasses of lemonade sold. ​

A)
B) ​
C) ​
D) ​

Answer 2

Question 3

An initial investment of $545.45 declines at a rate of 5 percent per year.What is the value of the investment after 3 years? Round your answer to the nearest cent. ​
​

A) $572.72
B) $81.82
C) $467.66
D) None of the above

Answer 3

$467.66

Question 4

A woman's height is proportional to her age.

Question 5

If you work 42 hours per week, then your weekly pay P, in dollars, is proportional to your hourly wage W, in dollars per hour.Express this proportionality relationship as a formula. ​

A)
B)
C)
D) None of the above.

Question 6

If a formula does not match a verbal description at one point, the formula and verbal description may still describe the same function.

Question 7

The weight of a pizza with fixed diameter is proportional to its thickness.

Question 8

With no advertising your newspaper has a circulation of 1042 newspapers.For each dollar you spend on advertising, newspaper circulation increases by 16 newspapers.You sell each paper for 37 cents.You pay $488 to print the paper and have it delivered.Give a formula that shows your net income , in dollars, if you spend dollars on advertising.Suggestion: First calculate the number of newspapers you sell.Don't forget to include the dollars you spend on advertising in your expenses. ​
​

A)
B)
C) ​
D) ​

Question 9

When formulas are used to represent verbal descriptions, it is important to write down what the variables represent.

Question 10

Verifying agreement at several points assures that a verbal description and a formula describe the same function.

Question 11

If I make $23 per hour then my pay is proportional to the hours I work.

Question 12

The term proportional is used to indicate that one thing is a multiple of another.

Question 13

The area of a square is proportional to the length of a side.

Question 14

When variables are introduced to describe real situations, it is important to include proper units.

Question 15

You start with an investment of $1440.09.The first year the investment grows by 7%.The second year the investment declines by 7%.What is the value of the investment at the end of the two-year period? Round your answer to the nearest cent. ​

A) $1,440.09
B) $1,433.03
C) $0.00
D) None of the above

Question 16

In a proportionality relationship, the constant of proportionality varies with time.

Question 17

If you are driving at a constant speed, the distance you travel is proportional to the time you spend driving.Using D for the distance traveled, in miles, t for the time, in hours, that you drive, and r for the constant of proportionality, express the proportionality relation using a formula. ​

A)
B)
C)
D)

Question 18

An initial investment of $557.33 grows at a rate of 5 percent per year.What is the value of the investment after 4 years? Round your answer to the nearest cent. ​

A) $585.20
B) $668.80
C) $677.44
D) None of the above

Question 19

If you work for $8 per hour, then your pay P, in dollars, is proportional to the hours you work.Express this proportionality relationship as a formula using H for hours worked. ​

A)
B)
C)
D) None of the above.

Question 20

The maximum length of a certain type of fish is 61 centimeters.The difference between the maximum length and the length at age t years is given by centimeters.Write a formula that gives the length L, in centimeters, of the fish at age t years. ​

A)
B) ​
C) ​
D) ​

Question 21

There are 19,077 students at your university.The student population is expected to grow by 7% per year for the next few years.What is the expected student population after 3 years? Round your answer to the nearest whole number. ​

A) 23,370 students
B) 23,083 students
C) 20,412 students
D) None of the above

Question 22

You start with $32.28 in your piggy bank and add $9.28 each week.Write a formula for the amount P of money, in dollars, in your piggy bank after t weeks. ​

A)
B)
C)
D) None of the above

Question 23

You sell earrings for $6.33 each.You paid $57.21 for supplies to make the earrings.Which of the following is a correct formula for the profit P, in dollars, you make from making and selling E earrings? ​

A)
B) ​
C) ​
D) ​

Question 24

You sell cookies for 84 cents each.You paid $9.85 for ingredients to make the cookies.Which of the following is a correct formula for the profit P, in dollars, you make from baking and selling c cookies? ​

A)
B)
C) ​
D) None of the above

Question 25

You start with an investment of $1482.65.The first year the investment declines by 7%.The second year the investment grows by 8%.What is the value of the investment at the end of the two-year period? Round your answer to the nearest cent. ​

A) $1489.17
B) $1459.52
C) $14.83
D) $112.09

Question 26

It takes 13 minutes to preheat your oven.Once the oven is preheated, baking time for a roast is 13 minutes per pound.Using w as the weight of the roast, in pounds, and B for oven time (including preheating time), in minutes, give a formula that shows the oven time for a roast that weighs w pounds. ​

A)
B)
C)
D) None of the above