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.

3 answers

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