MATH SOLVE

3 months ago

Q:
# 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. Site 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.

Accepted Solution

A:

Answer:Part 1) see the procedure
Part 2) [tex]4.95x+49.95 < 9.95 x[/tex]
Part 3) [tex]x > 9.99\ months[/tex]
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 monthsStep-by-step explanation:Part 1) Define a variable for the situation.Let x ------> the number of monthsy ----> the total cost monthly for website hostingPart 2) Write an inequality that represents the situation.we know thatSite A[tex]y=4.95x+49.95[/tex]Site B[tex]y=9.95x[/tex]The inequality that represent this situation is[tex]4.95x+49.95 < 9.95 x[/tex]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[tex]4.95x+49.95 < 9.95 x[/tex]Subtract 4.95x both sides[tex]4.95x+49.95-4.95x < 9.95 x-4.95x\\ 49.95 < 5x[/tex]Divide by 5 both sides[tex]49.95/5 < 5x/5\\ 9.99 < x[/tex]Rewrite[tex]x > 9.99\ months[/tex]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