Customers have two options when renting video games from a rental store. plan a requires a $5 monthly fee and $1 per video rental. plan b requires an $8 monthly fee and $0.75 per video rental. how many video rentals would be required each month for the plans to cost the same amount?

4+4+2x

or

2x+8

step-by-step explanation:

55.44 inches

step-by-step explanation:

part a. assuming a perfectly linear relationship, we can find the slope from the first two data points.

slope = m = (change in rainfall)/(change in years)

= (61.80 -62.33)/(2005 -2004) = -0.53/1 = -0.53

then the point-slope form of the equation of the line can be written as

y = m(x -h) +k . . . . . m = -0.53, (h, k) = (0, 62.33)

y = -0.53x +62.33 . . . x = years after 2004

part b. in 2017, x = 2017 -2004 = 13. then the predicted rainfall is

y = -0.53·13 +62.33 = 55.44 . . inches

the predicted rainfall in 2017 is 55.44 in.

the solution, from the graphing of the two lines, is (3,2), i.e., x = 3, y = 2.