Question

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 afford

Answer 1

2.35x+6.00=y
x=number of gallons of gas

Answer 2

Linear equation is used to relate expressions of constant rates.

• The linear equation is: $\mathbf{f(x) = 6+ 2.35x}$
• You can afford to buy 14 gallons.

The given parameters are:

$\mathbf{Rate = 2.35}$

$\mathbf{Base = 6}$

Let the number of gallons be x.

So, the linear equation is:

$\mathbf{f(x) = Base + Rate \times x}$

$\mathbf{f(x) = 6+ 2.35\times x}$

$\mathbf{f(x) = 6+ 2.35x}$

You have $40.

So, the equation becomes

$\mathbf{ 6+ 2.35x = 40}$

Subtract 6 from both sides

$\mathbf{2.35x = 34}$

Divide both sides by 2.35

$\mathbf{x = 14.468}$

Remove decimal (do not approximate)

$\mathbf{x = 14}$

Hence, you can afford to buy 14 gallons.

Read more about linear equations at:

https://brainly.com/question/11897796