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777dan777 [17]
3 years ago
7

James wants to promote his band on the internet. Site A offers website hosting for $4.95 per month with a $49.95 startup fee. Si

te B offers website hosting for $9.95 per month with no startup fee. For how many months would James need to keep the website for Site A to be a better choice than Site B?
Define a variable for the situation.

Write an inequality that represents the situation.

Solve the inequality to find out how many months he needs to keep the website for Site A to be less expensive than Site B.

Using words, describe how many months he needs to keep the website for Site A to be less expensive than Site B.
Mathematics
1 answer:
cupoosta [38]3 years ago
4 0

Answer:

Part 1) see the procedure

Part 2) 4.95x+49.95 < 9.95 x

Part 3) x > 9.99\ months

Part 4) The minimum number of months, that he needs to keep the website for site A to be less expensive than site B is 10 months

Step-by-step explanation:

Part 1) Define a variable for the situation.

Let

x ------> the number of months

y ----> the total cost monthly for website hosting

Part 2) Write an inequality that represents the situation.

we know that

Site A

y=4.95x+49.95

Site B

y=9.95x

The inequality that represent this situation is

4.95x+49.95 < 9.95 x

Part 3) Solve the inequality to find out how many months he needs to keep the website for Site A to be less expensive than Site B

4.95x+49.95 < 9.95 x

Subtract 4.95x both sides

4.95x+49.95-4.95x < 9.95 x-4.95x

49.95 < 5x

Divide by 5 both sides

49.95/5 < 5x/5

9.99 < x

Rewrite

x > 9.99\ months

Part 4) describe how many months he needs to keep the website for Site A to be less expensive than Site B.

The minimum number of months, that he needs to keep the website for site A to be less expensive than site B is 10 months

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This question is solved applying the formula of the area of the rectangle, and finding it's width. To do this, we solve a quadratic equation, and we get that the cardboard has a width of 1.5 feet.

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