Emmanuel is starting a cycling training program. He will start cycling a short distance and increase his distance over time. Emmanuel will cycle 5 miles during the first week and increase his distance by 2 miles each week for 12 weeks.

Step-by-step explanation:

We can use the equation of a straight line as a concept to solve this problem

that is y=mx+c

at the end of the 12 weeks we can estimate the total distance that Emmanuel must have covered.

Given data.

the total distance is y

the number of weeks is x

and the starting distance is c (based on the equation of line)

starting distance= 5 miles,

increment = 2miles each week

number of weeks =12

substituting we have

y=2(12)+5

y=24+5

y=29miles

the total distance covered after 12 weeks is 29miles

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