In the problem described below, assume that the relationship can be expressed as a linear equation in two variables, and use the given information to determine the equation. Express the equation in slope-intercept form. A new diet fad claims that a person weighing 170 pounds should consume 1,660 daily calories and that a 210-pound person should consume 1,800 calories. Let y represent the calories and x the weight of the person in pounds.

Question

Quizplus · Accepted Answer

We can use the two given data points to find the slope of the linear equation:

slope = (1800 - 1660)/(210 - 170) = 14

Using one of the data points and the calculated slope, we can find the y-intercept:

1660 = 14*170 + b
b = -2140

Therefore, the linear equation relating weight (x) and daily calorie intake (y) is:

y = 14x - 2140

This equation is in slope-intercept form, and the correct answer is choice C.

In the Problem Described Below, Assume That the Relationship Can