Question

Anand needs to hire a plumber. He's considering a plumber that charges an initial fee of $65 along with an hourly rate of $28. The plumber only charges for a whole number of hours. Anand would like to spend no more than $250, and he wonders how many hours of work he can afford.

Let H represent the whole number of hours that the plumber works.

1) Which inequality describes this scenario?

Choose 1 answer:

A) 28 + 65H ≤ 250

B)28 + 65H ≥ 250

C) 65 + 28H ≤ 250

D) 65 + 28H ≥ 250

2) What is the largest whole number of hours that Anand can afford?

hours

Answer 1

1.) B

2.) 3 hours

Explanation:

1.) option B is correct I think because it shows he will either be equal to or less than how much money he wants to spend

2.) i got three because if you sent up the equal I picked in question one then you subtract 28 from 250 giving u 222 and you divide that by 65 giving you 3.4 but he only charges by the whole hour so that .4 of an hour he wouldn't charge you for

Answer 2

1 The inequality that describes this scenario is C) 65 + 28H ≤ 250

2 Anand can afford a maximum of 6 hours of work from the plumber.

1 The inequality describing the scenario is:

"65 + 28H ≤ 250."

So, the correct answer is: "C) 65 + 28H ≤ 250."

2 To find the largest whole number of hours Anand can afford:

"65 + 28H ≤ 250."

Subtract 65 from both sides:

"28H ≤ 185."

Divide by 28 (since H is a whole number):

"H ≤ 6 with a remainder of 17."

The largest whole number that satisfies this inequality is H = 6.

So, Anand can afford a maximum of 6 hours of work from the plumber.