Gavin likes biking. He never misses a chance to go for a ride when the weather is nice. This week his goal is to bike about 65 total miles over four days. Each day, he wants to ride 1.5 times as far as he rode the day before. How far should he ride on each of the four days to reach his goal?

Let, on the first day, he drives x miles. On second day,he drives 1.5x. On the third day, he drives 1.5(1.5x) and on the fourth day, he drives 1.5(1.5(1.5x)).

So we have

[tex] x+1.5x+1.5(1.5x) + 1.5(1.5(1.5x)) = 65 [/tex]

[tex] x+1.5x + 2.25x + 3.375x = 65
\\
8.125x = 65
\\
x =8 [/tex]

So on the first day, he drives 8 miles.

On second day, he drives 8*1.5 =12 miles

On the third day, he drives 12*1.5 = 18 miles

On the fourth day, he drives 18*1.5 = 27 miles

ccrawf2932 ccrawf2932 · Answer 2 · 2021-09-21T15:42:21+02:00

Answer:

The variable x represents the distance Gavin bikes on the first day.

On the second day, he wants to bike 1.5 times the distance he rode the first day, x. The expression for the distance he should bike on the second day is 1.5x.

On the third day, he wants to bike 1.5 times the distance he rode the second day, 1.5x. The expression for the distance he should bike on the third day is (1.5)(1.5x) = 2.25x.

On the fourth day, he wants to bike 1.5 times the distance he rode the third day, 2.25x. The expression for the distance he should bike on the fourth day is (1.5)(2.25x) = 3.375x.

The expressions for the distance Gavin should ride each of the following three days are 1.5x, 2.25x, and 3.375x.

Step-by-step explanation:

i did this on edmentum that is the exact anwser so change it u a bit