Sharon earned 6000 bonus miles for opening a new credit card that has a frequent-flyer program. She earns 250 miles for every $100 she spends. When the total miles reaches 25,000 miles, Sharon will be able to reserve a free round-trip ticket to anywhere in the United States. How many $100-purchases must she make to get the free trip?

She needs to make 76 $100 purchases.

Step-by-step explanation:

Let's represent this with an equation. We know she already has 6000 miles.

6000 +

She earns 250 per 100 spent dollars. Let's represent the amount of $100-purchases with x.

6000 + 250x

Her ultimate goal is to get 25,000 miles.

6000 + 250x = 25000

Now all we have to do is solve!

250x = 19000

x = 19000/250 = 76

She needs to make 76 $100 purchases.

a

step-by-step explanation:

c

step-by-step explanation:

there is vertical asymptote at x = 2 and x = 0

vertical asymptote occurs at the points where the denominator is 0. so we can say that

x = 2 occurs when there is a factor (x-2) in the denominator, and

x = 0 occurs when there is a factor "x" in the denominator

thus, the denominator of the equation would have "x * (x-2)", this is option c only. that's the correct answer.