A cab charges $1.50 for the 1st mile and $0.50 for the additional mile right insolvent a inequality to determine how many miles Sharon and can travel if she has $25 to spend

Write an equation that you can plug in any amount of money.

x =.50y + 1.50

.50 comes from the 50 cents per mile. the miles are y, since the price changes depending on how far she travels.

you add 1.50 because no matter what, you have to pay 1.50, even if you got in and went 0 miles.

x will be the 25 dollars max she can spend

25.00 =.50y + 1.50 you want to isolate the y

so subtract 1.50 from each side

23.50 =.50y now divide. 50 from each side

47 = y

the answer is 47 miles.

you can check this answer by plugging in 47 in the equation.