A video game set can be bought on hire purchase by making a deposit of $190 and 12 monthly instalments of $171 each. Calculate the hire purchase cost of the video game set. The actual marked price of the video game set is $1900. There is a 15% sale on the set, calculate the selling price of the video game set if purchased on sale.

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 graph g(x) is f(x) translated 7 units in the negative y direction and translated 2 units in the negative x direction