Question

a plumber charges $80 an hour for making house calls to do plumbingwork.He works between 2 to 6 hours a day.​What is the domain and range

Answer 1

Answer:

The domain is (x :  2 < x < 6}

The range is {y : 160 < y < 480}

Step-by-step explanation:

Assume that y is the total charge for x hours

∵ He charges $80 an hour

∵ The number of hours is x

∴ y = 80 x

x is the domain and y is the range

∵ He works between 2 to 6 hours a day

- That means x is between 2 and 6

∴ 2 < x < 6

∵ x represents the domain

∴ The domain is {x : 2 < x < 6}

Lets find the value of y at x = 2 and x = 6 to find the range

∵ x = 2

∴ y = 80(2)

∴ y = 160

∵ x = 6

∴ y = 80(6)

∴ y = 480

- That means y is between 160 and 480

∴ 160 < y < 480

∵ y represents the range

∴ The range is {y : 160 < y < 480}