Question

If a customer uses 80 MB, the monthly cost will be $19.00. If the customer uses MB, the monthly cost will be $. Find a linear equation for the monthly cost of the data plan, C , as a function of x , the number of MB used. math problem

Answer 1

Answer:

$c = 4.211\cdot n$

Step-by-step explanation:

The linear equation has the following form:

$c = \frac{\Delta C}{\Delta n} \cdot n$

Where:

$n$ - Number of MBs of the data plan.

$c$ - Monthly cost of the data plan.

The slope of the function is:

$\frac{\Delta C}{\Delta n} = \frac{c}{n}$

$\frac{\Delta C}{\Delta n} = \frac{80\,MB}{19\,USD}$

$\frac{\Delta C}{\Delta n} = 4.211\,\frac{MB}{USD}$

The equation is:

$c = 4.211\cdot n$

Answer 2

Full Question

If a customer uses 80 MB, the monthly cost will be $19.00. If the customer uses n MB, the monthly cost will be $C Find a linear equation for the monthly cost of the data plan, C , as a function of x , the number of MB used.

Answer:

The linear equation for the monthly cost of the data plan, C , as a function of x , the number of MB used is; C = 4.2105 n

Step-by-step explanation:

Given;

Usage = n = 80MB

Cost = ∆C = $19

Let C = monthly cost

Let x = MB per minute

The relationship between C and n is

C = ∆C * n / ∆n

C = 80/19 *n

C = 4.2105 n

The linear equation for the monthly cost of the data plan, C , as a function of x , the number of MB used is; C = 4.2105 n