Question

You want to get a cell phone plan including unlimited data, texting, and calls for your first phone you are going to purchase this summer from Sharaf Digital. Surf the internet and find a cell phone you would want to buy and record the price in US Dollars and type at Sharaf Digital.

a) All the plans have a base service charge of $23 per month plus the cost of the phone. Write an expression to represent the service charge.

b) There are three unlimited plans, and each plan incorporates the service charge. Translate each plan into an algebraic expression using the service charge expression from the above question.
Plan 1: $8 less than twice the amount of the service charge.
Plan 2: The quotient of the service charge and 2 increased by a fee of $50 per month.
Plan 3: The sum of half the number of months cubed and a third of the service charge.

c) Which plan would be most cost effective for a 2-year contract? Show all calculations that led to your results. Explain your results comparing the 3 plans.

d) Sharaf Digital is having a special promotion by challenging customers to create their own plan. Customers must write a verbal expression that must include the service charge and at least two operations. The operations to choose from are listed below.
If the plan is within $15 per month of one of the original 3 plans then the customer could choose that plan.
Create a 4th plan and show all calculations that led to your results.

Answer 1

Answer:Samsung Galaxy Z Fold3 5G 256GB Phantom Black Smartphone

USD 1343

a) All the plans have a base service charge of $23 per month plus the cost of the phone. Write an expression to represent the service charge.

1343 + 23m

b) There are three unlimited plans, and each plan incorporates the service charge. Translate each plan into an algebraic expression using the service charge expression from the above question.

Plan 1: $8 less than twice the amount of the service charge.

(service charge is 23 per month so)

1343 + 2(23m– 8)

Plan 2: The quotient of the service charge and 2 increased by a fee of $50 per month.

1343 + (23m/2 + 50m)

Plan 3: The sum of half the number of months cubed and a third of the service charge.

1343 + (1/2m3 + 1/3(23m))

c) Which plan would be most cost effective for a 2-year contract? Show all calculations that led to your results. Explain your results comparing the 3 plans.

Plan 1: 1343 + (24(23 – 8) = 1703

Plan 2: 1343+ (24x61.5) = 2819

Plan 3: 1343 + (1728 + 552) = 3623

Plan 1 is the most cost effective because it is the cheapest

d) Sharaf Digital is having a special promotion by challenging customers to create their own plan. Customers must write a verbal expression that must include the service charge and at least two operations. The operations to choose from are listed below.

If the plan is within $15 per month of one of the original 3 plans then the customer could choose that plan.

Create a 4th plan and show all calculations that led to your results.

Operations: product, more than, less than, double, sum, divided by, square

The product of 3.5 and the total cost divided by 4

3.5(1343 + (24(23 – 8))/4 = 1490.13

Plan 4 = 1490.13/24 = 62.09

Plan 1: 1703/24

70.95

Explanation: