Answer: (1) C. 65 + 28H < 250
(2) 6
Step-by-step explanation:
Here is the correct 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?
Since the initial fee charged by the plumber is $65 and an hourly rate of $28, and Anand would like to spend no more than $250. This means that the addition of the initial fee plus the hourly fee based on number of hours worked will have to be less than $250. This can be mathematically expressed as:
= 65 + 28H < 250
That means option C is the correct answer.
Option B and D are incorrect because the greater sign was used but Anand doesn't want to spend more than $250 but the options denoted that he spent more than $250 which isn't correct.
2)'The largest whole number of hours that Anand can afford goes thus:
65 + 28H < 250
28H < 250 - 65
28H < 185
H < 185/28
H < 6.6
Therefore, the largest whole number of hours that Anand can afford is 6.
