Mercedes rides her bike 10 miles in the first week. She increases the distance she rides by 2 miles each week.
Sum them all up as an Arithmetic Series:
Sum =N/2 [2F + (N - 1)*D]
Sum =8/2 [2*10 + (8 - 1)*2]
Sum =4 [20 + (7*2)]
Sum =4 [20 + 14]
Sum =4 x 34
Sum = 136 miles - that Mercedes will ride over 8 weeks.
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She rides 136 miles over the course of 8 weeks
A function is defined as a relation between a set of inputs having one output each. In simple words, a function is a relationship between inputs where each input is related to exactly one output
It is given that Mercedes rides her bike 10 miles in the first week.
She increases the distance she rides by 2 miles each week.
We can make a function by using this data
Suppose the distance Mercedes ride each week is x and
the distance she increases every week is y and
n is the total number of week she rode the bicycle
S = n⁄2 {2x + (n − 1) y}
How many miles will she ride over the course of 8 weeks S =
= 8/2 {2*10+(8-1)2}
=4{20+14}
=4*34
=136 miles
She rides 136 miles over the course of 8 weeks
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