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A phone company has a monthly cellular data plan where a customer pays a flat mo

ID: 3009969 • Letter: A

Question

A phone company has a monthly cellular data plan where a customer pays a flat monthly fee of $10 and then a certain amount of money per megabyte (MB) of data used on the phone. If a customer uses 20 MB, the monthly cost will be $11.20. If the customer uses 130 MB, the monthly cost will be $17.80.

a. Find a linear equation for the monthly cost of the data plan C as a function of x, the number of MB used.

Enter equation without any spaces between alphanumeric characters and signs. Enter any decimal values less than 1 with a "0" before the decimal point. Examples of correctly-entered response are

C=2x+5     C=0.03x–22    C=–4x+0.35

b. Use your equation to find the total monthly cost (in $) if 250MB are used. Enter number value only (no "$" sign) with answer rounded to nearest cent (2 places after decimal)

Explanation / Answer

a.

C=10+11.2x

Flat fee + (cost per MB)* number of MB used

b.

x=250 MB

C=10+11.2*250=2810 dollars

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