Relating linear contexts to graph features?

Apolline is mowing lawns for a summer job. For every mowing job, she charges an initial fee plus a constant fee for each hour of work. Her fee for a 5-hour job, for instance, is $42. Her fee for a 3 - hour job is $28.

Let y represent Anumeha's fee (in dollars) for a single job that took x hours for her to complete.

Which of the following information about the graph of the relationship is given?

choices:

A. Slope and x - intercept

B. Slope and y - intercept

C. Slope and a point that is not an intercept

D. x - intercept and y - intercept

E. y - intercept and a point that is not an intercept

F. Two points that are not intercepts

My answer is F. Two points that are not intercepts

I'm I right? If not, please provide correct answer..

1 Answer

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  • 3 months ago
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    Yes of course you are right

    Let's find out the slope and y-intercept

    2 hours of work brings an additional $14

    Slope = 7 $/h

    If we extrapolate from the (3, 28) we get for 0 hours of work 28 - 3*7 = 7 dollars

    y = 7 + 7x

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