Respuesta :
Answer:
Total Miles he drives first day = 8 miles
Total Miles he drive second day = 12miles
Total Miles he drives third day = 18miles
Total Miles he drives fourth day = 27 miles
Step-by-step explanation:
This is a problem of linear equations in 1 variable:
The linear equations in one variable is an equation which is expressed in the form of ax + b = 0, where a and b are two integers, and x is a variable and has only one solution.
It is given in the question that ,
This week his goal is to drive 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.
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 the equation is :
x +1.5x + 1.5(1.5x) + 1.5(1.5(1.5x)) = 65miles
x + 1.5x + 2.25x + 3.375x = 65miles
8.125x = 65 miles
x = 65/8.125 miles
x = 8 miles
so after solving the equation we get, on the first day Gavin drives 8 miles
similarly, on the second day he drives 12miles
on third day 18 miles
and on the fourth day 27miles
more about linear equations in one variable at:
https://brainly.com/question/17139602
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