Alan drives an average of 100 miles each week. His car can travel an average of 25 miles per gallon of gasoline. Alan would like to reduce his weekly expenditure on gasoline by $5. Assuming gasoline costs $4 per gallon, which EQUATION can alan use to determine how many fewer average miles, m, he should drive each week? Plz tell me the EQUATION.

ANSWER IS 4/25m = 5

Respuesta :

Answer is 4/25m = 5. hope this helps

Answer:

The required equation is [tex]\frac{4}{25}M= 5[/tex].

Step-by-step explanation:

Consider the provided information:

Alan wants to reduce his weekly expenditure by $5.

His car can travel an average of 25 miles per gallon which can be written as:

[tex]\frac{1\ gallon}{25\ miles}[/tex]

The cost of gasoline is $4 per gallon which can be written as:

[tex]\frac{4\ dollars}{gallon}[/tex]

Alan wants to reduce his weekly expenditure by $5.

Where 'M' is how many fewer average miles.

[tex]M\ miles(\frac{1\ gallon}{25\ miles})(\frac{4\ dollars}{gallon})= 5 dollars[/tex]

[tex]\frac{4}{25}M= 5[/tex]

Hence, the required equation is [tex]\frac{4}{25}M= 5[/tex].