Question

Hector entered a 3-day bike race. He traveled 20t miles on the first day, 15(t+6) miles the second day, and 25(t-3) miles the third day. Which polynomial represents the average number of miles hector traveled each day? A. 20t+1 b.20t+5 c. 60t+3 d. 60t+15

Answer 1

20t +15t+90+25t-75=60t+15
60t+15/3=20t+5 as the average
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Answer 2

The average number of miles he traveled each day is
`20t+5`

Explanation:

In order to calculate the average, we notice that it is a 3-day race, and we have the data of miles traveled each day. Mathematically we are saying that

`A=(1)/(3)[20t+15(t+6)+25(t-3)]`

where A is the average we want to calculate, so

`A=(1)/(3)(20t+15t+90+25t-75)=(60t)/(3)+(15)/(3)`

therefore

`A=20t+5`

is the average number of miles he traveled each day, wich is the polynomial b.