Question

The tax a plumber must charge for a service call is given by the expression 0.06(35+25h ) where H is the number of hours the job takes.

Rewrite the expression using the distributive property and calculate the tax for a 5-hour job and a 20-hour job.
a) (3.5 + 5)
b) (3.5 + 10)
c) (0.6(35) + 0.6(25))
d) (3.5(5) + 3.5(20))

Answer 1

The tax for a plumbing service call can be calculated with the distributive property as 0.06(35) + 0.06(25h). The tax for a 5-hour job is $9.60, and for a 20-hour job is $32.10.

Step-by-step explanation:

The expression for the tax a plumber must charge for a service call, using the distributive property, is 0.06(35) + 0.06(25h). This means you have to multiply each term inside the parentheses by 0.06. To find the tax for a 5-hour job:

1. Apply the property: 0.06 x 35 + 0.06 x 25 x 5.
2. Do the math: 2.1 + 0.06 x 125.
3. Calculate the result: 2.1 + 7.5.
4. Add the tax amounts: $9.60.

For a 20-hour job:

1. Apply the property: 0.06 x 35 + 0.06 x 25 x 20.
2. Do the math: 2.1 + 0.06 x 500.
3. Calculate the result: 2.1 + 30.
4. Add the tax amounts: $32.10.