Question

A truck rental is $30 plus $.30 /mi. Find out how many miles Ken traveled if his bill was $55.20 .

Answer 1

Answer is 84 miles
You can use the y intercept method of solving this
Y= mx + b
Y is your total cost 55.20
M is your slope or rate of .30/1 mile
B is your intercept or starting point $30
So fill in your known numbers
55.20 = .30x + $30
Isolate x by subtracting $30 from both sides
55.20 - 30 = .30x + 30 - 30
25.20 = .30x
Now solve for x by dividing both sides by .30
25.20 / .30 = 84 miles
Problem solved

Answer 2

Hello and Good Morning/Afternoon:

Let's take this problem step-by-step:

Let's consider the information given:

• rental price: $30 + $0.30/mile
• total bill for Ken: $55.20

Let's setup an equation for the cost

• set 'x' as number of miles traveled

             $\hookrightarrow Cost = 30 + 0.3x$

• set that equal to the total cost or bill and solve

             $30 + 0.3x = 55.2\\0.3x = 25.2\\x=84$

Ken must have traveled 84 miles

Answer: 84 miles

Hope that helps!

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