Question

Mario's Fine Dining charges $60.22 for its prix fixe meal plus $37.69 for every drink, d, you purchase. The equation that models the total cost (T) isT(d)=37.69d+60.22. Which value in the equation represents the rate of change?

Answer 1

The value of rate of change in the equation
`T(d)=37.69d+60.22` is 37.69.

Explanation:

Given the equation that models the total cost(T) is:

`T(d)=37.69d+60.22` where d is the drink you purchase.

To determine the rate of change:

1. An equation must be into the Slope-intercept form (y=mx+b).

2. m is the slope (rate of change) of the linear function.

3. b is the y-intercept of the linear function (y- intercept is where the line crosses the y-axis).

Since, the given equation is in the linear form i.e,
`T(d)=37.69d+60.22`

The rate of change(m) of the given equation is, 37.69.