your local rollerblade rink will rent you blades for $14.00 for 3 hours or $29.00 for 8 hours. Asume the price increase is constant depending on the number of hours the blades are rented.

Find the expression

x = hours

y = price
two points (3,14) and (8,29)
y = m x + b

m = (29-14)/(8-3) = 15/5 = 5

y = 5 x + b
14 = 5(3) + b
b = -1
so
y = 5 x - 1

hey damon..thank you for your answer but would 15/5=3...so where would the 3 go...thank you

whoops, sorry

m = (29-14)/(8-3) = 15/5 = 3

y = 3 x + b
14 = 3(3) + b
b = 5
so
y = 3 x +5

To find the expression for the price increase, let's first calculate the price per hour for each rental option.

For the first rental option, the blades are rented for 3 hours at a cost of $14.00. So, for each hour of rental, the cost is $14.00 / 3 = $4.67.

For the second rental option, the blades are rented for 8 hours at a cost of $29.00. So, for each hour of rental, the cost is $29.00 / 8 = $3.63.

Now, let's find the difference in cost per hour between the two rental options:

Difference = $4.67 - $3.63 = $1.04.

So, the price increase per hour for the blades rental is $1.04.