The instructor had saved $3,500 and rents an apartment for $275 monthly. He believes the point (6, 1850) would be on the equation of the line. Is he correct? Explain how to check if a point is on a line
Sample Answer: Write the equation using slope and y-intercept in slope-intercept form, y = –275x + 3500. Then, substitute the x and y values of the point into the equation, 1850 = –275(6) + 3500. Simplify to see if both sides are equivalent. Yes, the instructor is correct because both sides are equivalent.
Yes the instructor is correct given the calculation that has been done below.
We have Amount saved = $3500
The amount that is rented = $275
The point on the line is given as 6 and 1850
We have to person the following operation
3500 - 275*6
= 3500 - 1650
= 1850
The solution is 1850 while the multiplication factor is 6. Hence the instructor is right.
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