For Part A, list the given numbers in the problem
465 - 5 days (given)
625 - 7 days (given)
[tex] \frac{625 - 465}{7 - 5} [/tex]
[tex] \frac{160}{2} = 80[/tex]
80 = slope
y = mx + b form
y = 80x + b
(5, 465) - plug it in to y = 80x + b
465 = 80(5) + b
465 = 400 + b
bring the 400 over to the left side by subtracting 400 to both sides
465 - 400 = b
65 = b, plug this into the equation (y = 80x + b)
Your new equation should be y = 80x + 65
For Part B, function notation = f(x) = nx + 1
f(x) = 80x + 65
For Part C, plot two points on the graph with y = 80x + 65 and connect them together
x-axis = days, while y-axis = rent in dollars, I suggest you use the points 0 and 10 for x, so put 0 and 10 into the slope formula y = 80x + 65, and you should find y, but this part is really up to you to find out which numbers to use. I'll just do it now anyways
y = 80(0) + 65
y = 0 + 65
y = 65
(0,65)
y = 80(10) + 65
y = 800 + 65
y = 865
(10,865)
TLDR;
Part A:
y = 80x + 65
Part B:
f(x) = 80x + 65
Part C:
(0,65)
(10,865)
