The amount of money spent on gas each week is \(\fbox{\begin\\\ \bf \$18\\\end{minispace}}\)
Further explanation:
As given in the question \(150\) miles of distance is covered by the car each week.
To cover a distance of \(25\) miles, \(1\) gallon of gas is required for the car and the price for the gas is \(\$3\) per gallon.
The objective is to determine the amount of money spent on gas each week.
It is given that to travel \(25\) miles, \(1\) gallon of gas is required so, for \(1\) mile of distance \(\left(\frac{1}{25}\right)^{th}\) gallon of gas is required.
This implies that in \(\left(\frac{1}{25}\right)^{th}\) gallon of gas the car runs for \(1\) mile of distance.
Now if in \(\left(\frac{1}{25}\right)^{th}\) gallon of gas \(1\) mile of distance is covered so, for \(150\) miles of distance the amount of fuel required is calculated as follows:
\(\fbox{\begin\\\ \dfrac{1}{25}\times 150=6\\\end{minispace}}\)
From the above calculation it is concluded that with \(6]\) gallon of gas \(150\) miles of distance is covered.
The price for the gas is $3 per gallon so, the price of 6 gallon of gas is calculated as follows:
@@MATH_TOKEN_17@@
From the above calculation it is concluded that the cost of @@MATH_TOKEN_18@@ gallon of gas is @@MATH_TOKEN_19@@.
Therefore, the amount of money spent on the gas each week is @@MATH_TOKEN_20@@.
Summary:
@@MATH_TOKEN_21@@
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Answer details:
Grade: High school
Subject: Mathematics
Chapter: Simplification
Keywords: Simplification, multiplication, miles, distance, price, gas, $3, each week, drives 150 miles, money spent each week, 25 miles per gallon.
