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

(11+w)/4

Step-by-step explanation:

Let the first term be 3 miles

If he plans to increase the distance of his run by 1/4 mile, then

common difference = 1/4

To get the distance Kane runs in a training session after w weeks , we will use the nth term of an AP

Tw = a+(w-1)d

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

Tw = 3 + 1/4 w - 1/4

Tw = 11/4 + 1/4 w

Tw = (11+w)/4

Hence the distance Kane runs in a training session after w weeks is (11+w)/4 weeks

b i think

step-by-step explanation:

not really sure

a 4/6 = 9/12   not proportional

step-by-step explanation:

to find which are not proportional, we can use cross products

if it is true, they are proportional.   if it is not true, they are not proportional.

a 4/6 = 9/12

4* 12 = 6*9

48 = 54

not this is not proportional  

b 2/3 = 12/18  

2* 18 = 3 * 12

36 = 36

this is proportional

c 5/4 = 10/8  

5*8 = 4*10

40 = 40

this is proportional

d 7/5 = 35/25

7*25 = 5 * 35

175 = 175

is proportional