Question

The sales of a certain brand of TV satisfy the linear model y = 110x + 5600 where y represents the number of sales in year x, with x = 0 corresponding to 1982, x = 1 corresponding to 1983, etc. How many units did they sell in 1987?

The number of sales in 1987 was

Answer 1

y = 110x + 5600

since x = 0 corresponding to 1982, x = 1 corresponding to 1983 so it must be x= 5 in 1987
we can put the value of x which is 5 in the equation

y = 110 (5)+ 5600
y = 550 + 5600
y = 6150

they sold 6150 units

Answer 2

6150 units were sold on 1987.

Explanation:

Given equation that models the number of sales after x years since 1982,

y = 110x + 5600 -----(1)

∵ The number of years from 1982 to 1987 is 5,

Thus, for finding the number of sales on 1987,

We must put x = 5 in the equation (1),

Thus, the number of units sold on 1987,

`y=110(5)+5600 = 550 + 5600 = 6150`