A linear graph of parking fees in dollars based on hours parked has the points (2,20) and (6,44) . How would you interpret the slope of the graph as the rate of change in the parking fee for each additional hour of parking?(1 point) Responses The parking fee rises by $7.33 with each additional hour. The parking fee rises by $7.33 with each additional hour. The parking fee rises by $10 with each additional hour. The parking fee rises by $10 with each additional hour. The parking fee rises by $6 with each additional hour. The parking fee rises by $6 with each additional hour. The parking fee rises by $8 with each additional hour. The parking fee rises by $8 with each additional hour.

Question

A linear graph of parking fees in dollars based on hours parked has the points (2,20) and (6,44) . How would you interpret the slope of the graph as the rate of change in the parking fee for each additional hour of parking?(1 point) Responses The parking fee rises by $7.33 with each additional hour. The parking fee rises by $7.33 with each additional hour. The parking fee rises by $10 with each additional hour. The parking fee rises by $10 with each additional hour. The parking fee rises by $6 with each additional hour. The parking fee rises by $6 with each additional hour. The parking fee rises by $8 with each additional hour. The parking fee rises by $8 with each additional hour.

Answer 1

The correct interpretation of the slope of the linear graph is "The parking fee rises by $6 with each additional hour."

Answer 2

The graph shows the number of gallons in a wading pool that is being drained. Using the points (1,160) and (3,80) as (x1,y1) and (x2,y2) , what is the rate of change in the number of gallons in the pool after each hour has passed? (1 point) Responses −40 gal./hr. negative 40 gal./hr. −140 gal./hr. negative Start Fraction 1 over 40 End Fraction gal./hr. 140 gal./hr. Start Fraction 1 over 40 End Fraction gal./hr. 40 gal./hr.

Answer 3

To find the rate of change in the number of gallons in the pool after each hour has passed, we need to calculate the slope of the graph using the given points.

Slope = (change in y) / (change in x)

(change in y) = (y2 - y1) = 80 - 160 = -80
(change in x) = (x2 - x1) = 3 - 1 = 2

Slope = -80 / 2 = -40

Therefore, the rate of change in the number of gallons in the pool after each hour has passed is -40 gal./hr. or negative 40 gal./hr.

Answer 4

To interpret the slope of the linear graph as the rate of change in the parking fee for each additional hour of parking, you can find the slope of the line passing through the given points. The slope of a line is determined by the change in the y-values divided by the change in the x-values.

Given the points (2, 20) and (6, 44), we can calculate the slope as follows:

Slope = (change in y-values) / (change in x-values)
= (44 - 20) / (6 - 2)
= 24 / 4
= 6

Therefore, the slope of the linear graph is 6.

This means that for each additional hour of parking, the parking fee rises by $6.