A florist charges $12.00 for delivery plus an additional $1.50 per mile from the flower shop. The florist pays the delivery driver $0.75 per mile and $4.50 for gas per delivery. If x is the number of miles a delivery location is from the flower shop, what expression models the amount of money the florist earns for each delivery?

Step-by-step explanation:

The amount of money the florist earns is the difference between what he charges and the actual costs that he pays.

Earning: 12+1.5x

Costs: 4.50+0.75x

Therefore earning on delivery is 12+1.5x-(4.50+0.75x) = 12+1.5x-4.5-0.75x = 7.5+0.75x

set each factor equal to 0

4x-3 = 0

2x-1 = 0

solve for x.

4x-3=0

4x=3

x= 3/4

solve for x. 

2x-1= 0

2x= 1

x= 1/2

eventually after a few more steps, your answer should be 1/2 is less than or equal to x and 3/4 is greater than or equal to x

-4, -2, 1, 4

step-by-step explanation:

domain = x values

range = y values