Kane is training for a marathone. He started by running 3 miles during every training session. Each week plans to increase the distance of his run by 1/4 mile

Complete question :

Kane is training for a marathon. He starts by running 3 miles during every training session each week plans to increase the distance of his runs by 1/4 mile. Let w be the number of weeks. Write and expression to show the diatance kane runs in a training session after w weeks

(11 + w ) / 4

Step-by-step explanation:

Given the following :

Initial miles kane plans to cover per session = 3 miles

Increase in miles covered per session = 1/4 mile per week

Hence, distance covered after w weeks :

Using the sum of an arithmetic progression formula:

Tn = a + (n - 1) d

a = first term = Initial / starting distance = 3 miles

n = nth term = number of weeks = w

d = common difference = constant increase in distance per week = 1/4

Hence, after w weeks :

= 3 + (w - 1) × 1/4

= 3 + (w/4 - 1/4)

= 3 + (w - 1) / 4

Taking L. C. M

(12 + w - 1) / 4

(11 + w ) / 4

f(x) is the value of the function. b is the value of the function when x equals zero or the y-coordinate of the point where the line crosses the y-axis in the coordinate plane.

step-by-step explanation:

hope this !

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step-by-step explanation:

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