Sam is planning to start a pool cleaning business from his home. He has decided on a radius of 30 miles from his home as a region of operation. After surveying the region of operation, he has found that 43% of homes in the region have a swimming pool. There are 36,248 homes in Sam’s region of operation. Which of the following statements is the best reason to include in the market analysis component of Sam’s business plan explaining why such a high percentage is good for Sam’s business?

a. 43% is 40% more than Sam needs.

b. Only 57% of the home owners need to build a swimming pool.

c. 43% of homes with a pool means 15,586 guaranteed customers, creating a solid customer base.

d. Since pools are not often removed from a property, 43% of homes with a pool means a strong potential customer base now, with the existing home owners, and later, with new home owners.

Option D

Step-by-step explanation:

Lets analyze each of the options one at a time.

a. 43% is 40% more than Sam needs.

Wrong, because he needs as many consumers as possible.

b. Only 57% of the home owners need to build a swimming pool.

Wrong,  His business is pool cleaning, and has nothing to do with building.

c. 43% of homes with a pool means 15,586 guaranteed customers, creating a solid customer base.

Possible, but he is not guaranteed a customer just because they could use the service. This is a possible answer if there is no better answer.

d. Since pools are not often removed from a property, 43% of homes with a pool means a strong potential customer base now, with the existing home owners, and later, with new home owners.

Best answer. It is similar to option c, but with a key difference of the words potential customer base. It also logically makes sense.

2. angles qrt and qst both measures 156 degrees.

step-by-step explanation:  

we have been given a diagram of a circle and we are told that measure of arc qvt is 156 degrees.  

we can see from our given diagram that angle qrt and angle qst subtends to arc qvt.

since we know that angles subtended by the same arc at the circumference are always equal.

by angle subtended by same arc theorem, measure of angle qrt and angle qst will be equal to the measure of arc qvt.

therefore, angles qrt and qst both measures 156 degrees and 2nd statement is the correct choice.