Middle School

Suppose the sales of a particular brand of appliance are modeled by the linear function [tex]S(x) = 200x + 3700[/tex], where [tex]S(x)[/tex] represents the number of sales in year [tex]x[/tex], with [tex]x = 0[/tex] corresponding to 2002.

Use this model to predict the number of sales in 2020.

Answer :

To predict the sales in 2020 with the function S(x) = 200x + 3700, we calculate for x = 18 (2020-2002), which results in S(18)= 7300 units.

The question asks to use the linear function S(x) = 200x + 3700 to predict the number of sales in the year 2020. Since x = 0 corresponds to the year 2002, we calculate the value of x for 2020 as x = 2020 - 2002 = 18. Substituting x = 18 into the equation gives us S(18) = 200(18) + 3700.

Performing the calculation, S(18) = 3600 + 3700, which equals to S(18) = 7300. Therefore, the predicted number of sales in 2020 using this linear model is 7,300 units.

Answer:

7300 sales in the year 2020

Step-by-step explanation:

Notice that if the year 2002 represents the year zero, then the years 2020 is:

2020-2002=18 (year number 18).

Now we can simply use the given expression for year "x" to evaluate what the sales would be in the 18th year:

[tex]S(18)=200 * (18) +3700=7300[/tex]

Therefore the number of sales would be 7300 in the year 2020 according to this model.

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