abby is using a rental agent in order to rent an apartment for college. She would pay the agent a fee of $160 to rent an apartment that has a monthly rent of $750. She would pay the agent a fee of $168 to rent an apartment that has a monthly rent of $850. Assuming that the rental agent fee and the monthly rent have a linear relationship, find a function representing the rental agent fee, F, in terms of the monthly rent, r. a F(r)=160+0.08r b F(r)=160+8r c F(r)=100+0.08r

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High School

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Answer :

Sashacork Sashacork · Answer 1 · 2024-10-02T15:22:52-04:00

The function representing the rental agent fee, F, in terms of the monthly rent, r, is F(r) = 100 + 0.08r.

The rental agent fee, F, can be represented as a linear function of the monthly rent, r. Let's determine the equation of this function:

We can use the point-slope form of a linear equation: y - y1 = m(x - x1). In this case, we can assign the rental agent fee as y and the monthly rent as x.
We are given two points: (750, 160) and (850, 168). We can choose any of the points to use as (x1, y1).
Using the point (750, 160) and the slope formula m = (y2 - y1) / (x2 - x1), we can substitute the values and solve for m.
Once we have the slope, we can substitute it along with one of the points into the point-slope form of the equation to find the equation of the function.

After performing the steps above, we find that the function representing the rental agent fee, F, in terms of the monthly rent, r, is

F(r) = 100 + 0.08r

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