Ast week, Shelly rode her bike a total of 30 miles over a three-day period. On the second day, she rode 4 5 the distance she rode on the first day. On the third day, she rode 3 2 the distance she rode on the second day. How many miles did Shelly ride on each day? Select your answers from the drop-down lists. On the first day, Shelly rode miles. On the second day, Shelly rode miles. On the third day, Shelly rode miles.

On the first day, Shelly rode 10 miles on first day.

On the second day, Shelly rode 8 miles.

On the third day, Shelly rode 12 miles.

Step-by-step explanation:

Let x = distance rod eon first day.

Shelly rode her bike a total of 30 miles over a three-day period.

Then as per given,

Distance rode on second day =

Distance rode on third day

Total distance rode =

Hence, She rode 10 miles on first day.

Distance rode on second day =

Distance rode on third day

logv3(x+2)=1

rewrite in exponential form:

logb(x) = y is equal to b^y =x

b = 3, y = 1

now solve for x:

3^1 = x+2)

x = 3-2

x = 1

see the picture for the graph.