Question

30 POINTS. HELP
When a tow truck is called, the cost of the service is
given by the linear function y=3x+40 , where y is in
dollars and x is the number of miles the car is towed.
Find and interpret the slope and y-intercept of the linear
equation.

Answer 1

Hi there!  

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I believe your answer is:  

slope - 3

y - intercept - 40

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Here’s why:  

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$y = 3x + 40\\\rule{150}{0.5}\\y \text{ - Total service fee.}\\\\x \text{ - Number of miles the car is towed.}\\\rule{150}{0.5}\\\text{The given equation is in slope-intercept form.}\\y = mx + b\\\\\rightarrow m \text{ - slope}\\\rightarrow b \text{ - y-intercept}\\\rule{150}{0.5}\\\text{3 takes m's spot so it is the slope.}$

$\text{This means that the company will charge 3 dollars for every mile the car is towed.}\\\rule{150}{0.5}\\\text{40 takes b's place to it is the y-intercept. This means that 40 would be the base fee.}$

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Hope this helps you. I apologize if it’s incorrect.