SOLUTION: In the North Chicago area, an 820-square-foot apartment rents for $1510 per month. A 970-square-foot apartment rents for $1660. Suppose that the relation between area and rent is l

Question 881402: In the North Chicago area, an 820-square-foot apartment rents for $1510 per month. A 970-square-foot apartment rents for $1660. Suppose that the relation between area and rent is linear.
A. Find a linear function that relates the rent, R to its area, x.
B. Predict the rent of a 900-square-foot apartment.
C. If the rent of an apartment is $1300 per month, how big would you expect it to be?
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
When you plot a graph, whatever you plot
on the vertical axis DEPENDS on what you
plot on the horizontal axis.
The INDEPENDENT variable is plotted on
the horizontal axis.
--------------------
In this case, area in square feet is
on the horizontal axis, and
the monthly rent is on the vertical axis
--------------------
Let = area of an apartment in square feet
Let = the monthly rent of an apartment
--------------------
You are given the poihnts
( 820, 1510 ) and
( 970, 1660 )
Use the point-slope formula:

(A)

--------------------
check:
( 820, 1510 )

OK
-------------------------
(B)

The rent is $1,590
-------------------------
(C)

The area is 610 square feet

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