Question

Elia is training for her first marathon. she currently runs 10 mi. per week, and wants to increase her mileage by 2 mi. every week. if elia keeps to her training schedule write a formula to define the number of miles she runs each week. ( 1 point)

Answer 1

y=2x+8

Explanation:

Given is the number of miles per week Elia is training = 10 miles

And she wants to increase her mileage by 2 miles every week. Means the next week she will run 12 miles, next week she will run 14 miles and so on.

The series goes like this 10,12,14 and so on. This forms an arithmetic sequence.

Let the number of weeks be represented by x

The formula for nth term :

a = d (n - 1) + c, where d is the common difference between consecutive terms, and c = a1.

So, equation becomes a=10+(x-1)2

y=10+2x-2

y=8+2x or y=2x+8

Hence, the formula is : y=2x+8

Answer 2

Answer: Required expression is given by

`y=8+2x`

Explanation:

Since we have given that

Number of miles per week Elia is training for her first marathon = 10 miles

According to question, we have given that she wants to increase her mileage by 2 miles every week.

so, Equation becomes

10,12,14,16..........

Let the number of weeks be x

Since it forms an Arithmetic sequence,

As we know the formula for nth term :

`a_x=10+(x-1)2\\\\y=10+2x-2\\\\y=8+2x`

So, our required expression will be

`y=8+2x`