Question

.A carpenter used the function y = 180x to determine the amount earned, y, for each bookcasesold. He has to sell between 3 and 10 bookcases each month in order to meet his sales goal. Lista reasonable domain and range to model the situation.

Answer 1

Answer:

Domain = {3, 4, 5, 6, 7, 8, 9, 10}

Range = {540, 720, 900, 1080, 1260, 1440, 1620, 1800}

Explanations:

The given function is:

y = 180x

y represents the amount earned for each bookcase sold

x represents the number of bookcases sold

Note: The domain are the input values of a function ( in this case, x)

The range are the output values of a function (In this case, y)

The Carpenter has to sell between 3 and 10 bookcases to meet his sales goal

This means that the domain is from 3 to 10

`\text{Domain, x = }\mleft\lbrace3,\text{ 4, 5, 6, 7, 8, 9, 10}\mright\rbrace\text{ }`

The range is the set of all the corresponding values of y for each values of x.

When x = 3, y = 180(3) = 540

When x = 4, y = 180(4) = 720

When x = 5, y = 180(5) = 900

When x = 6, y = 180(6) = 1080

When x = 7, y = 180(7) = 1260

When x = 8, y = 180(8) = 1440

When x = 9, y = 180(9) = 1620

When x = 10, y = 180(10) = 1800

Range, y = { 540, 720, 900, 1080, 1260, 1440, 1620, 1800}