Question

The cost, (x), for parking in a city lot is given by c(x) = 3x + 4.00, where x is

the number of hours. What does the slope mean in this situation?

A. The rate of change of the cost of parking in the lot is $3.00 per
hour.

B. The rate of change of the cost of parking in the lot is $4.00 per
hour.

C. It costs a total of $4.00 to park in the lot.

D. Parking in the lot costs $3.00 per car.
Help

Answer 1

Option A

Explanation:

we have

x -----> is the number of hours

c(x) ----> is the cost for parking in a city lot

we know that

c(x)=3x+4.00

This is a linear equation in slope intercept form

where

the rate of change or slope m is equal to m=$3 per hour

the y-intercept is equal to b=$4.00 (this is the cost when the number of hours is equal to zero)

therefore

The rate of change of the cost of parking in the lot is $3.00 per

hour

Answer 2

A) The rate of change of the cost of parking in the lot is $3.00 per hour

Explanation:

for y=mx+b:

b is the base "cost" ($4)

x is the number of hours parked in the parking lot

m is the slope or how much it costs to be parked PER hour

therefore, for x hours, the cost would be 3*#of hours + $4, so the rate of change of the cost of parking in the lot is $3 per hour (which is shown by m or the slope)