Hans rented a truck for one day. There was a base fee of $15.95, and there was an additional charge of 77 cents for each mile dr
iven. Hans had to pay
$207,68 when he returned the truck. For how many miles did he drive the truck?
2 answers:
Answer: 249 miles
Step-by-step explanation:
<em>First write a function that represents the amount paid for renting a truck:</em>
- Set x as each mile driven.
- Set y as the total amount paid.
- $15.95 is the base fee paid no matter the mile, meaning the rent start at $15.95, not 0.
<em>Function: y = mx + b</em>
- m = slope = amount paid for each mile driven = 77¢ = $0.77
- b = y-intercept = amount paid when 0 miles driven = base fee = $15.95
<u>y = 0.77x + 15.95</u>
<em>He paid a total of $207.68, therefore y = 207.68:</em>
207.68 = 0.77x + 15.95
<em>Solve the equation for x:</em>
207.68 - 15.95 = 0.77x
191.73 = 0.77x
x = 249 miles driven
6.75 because I did this already
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