Question

slope intercept word problems? "if you buy a car wash at the gas station for $6.00, the cost per gallon is $2.35. if you have $40, write and solve a linear equation to find the number of gallons of gas you can get."

Answer 1

Let x be the number of gallons you buy. Since each gallon cost $2.35 then the total cost of the gas would be:

$2.35x$

To this we have to add the car wash, then we have:

$\text{2}.35x+6$

Since we have $40 dollars we equate the expression above to this amount to find how many gallons we can buy:

$2.35x+6=40$

Solving for x we have:

$\begin{gathered} \text{2}.35x+6=40 \\ 2.35x=40-6 \\ 2.35x=34 \\ x=\frac{34}{2.35} \\ x=14.47 \end{gathered}$

Assuming we can only buy exact gallons you can buy 14 gallons.