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Alexandra needs to rent a car while on vacation. The rental company charges $17.95, plus 15 cents for each mile driven. If Alexandra only ha
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Alexandra needs to rent a car while on vacation. The rental company charges $17.95, plus 15 cents for each mile driven. If Alexandra only has $50 to spend on the car rental, what is the maximum number of miles she can drive?
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Mathematics
3 years
2021-08-24T01:58:23+00:00
2021-08-24T01:58:23+00:00 1 Answers
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Answer: 213 2/3 miles
Step-by-step explanation:
first we need to set up an equation to solve
let your equation be in y=mx+b form since we are using a rate
Since this is a word problem, dissect it and match each part with a variable in the slope-intercept equation
y = Budget
m = rate
x = how many miles she can go — the unknown variable
b = the initial fee
Your equation should be: 50 = 0.15x + 17.95
We want to soIve for x now so first get rid of the coefficient not attached to it
To do this, you do the inverse function of addition, which is subtraction
Subtract 17.95 from both sides
Your new equation will be: 32.05 = 0.15x
0.15 is still attached to x, so we want to do the inverse function of multiplication, which is division
divide both sides by 0.15
Your final answer: 213 2/3 miles