Answer:
Inequality: .80x +21 ≤ 82
Answer: 76.25 miles in total
Step-by-step explanation:
Hi,
An inequality to represent this is .80x +21 ≤ 82
(.80 is the cost per mile and x is the number of miles driven. 21 is the fee that must be paid no matter what and the 82 is the total cost they can pay. We use the ≤ sign to say they can spend less than or equal to 82. The phrase "at most" means we can use the ≤ sign).
Now we solve...
.80x + 21 ≤ 82
Subtract 21 on both sides...
.80x ≤ 61
Now, divide by .80 on both sides...
x ≤ 76.25
He can drive up to 76.25 miles in total
Hope this helps :)
