To rent a booth at the county fair-grounds costs $42(per day plus a one-time equipment fee of $85. Write and solve and equation to find the
number of days Ms. Williams rented a booth if she paid a total of $337

85 + 42x = 337

x = 6

Step-by-step explanation:

For the equation:

We know there is a one-time fee plus 42 times the number of days you rent the booth for and that the total of the equation should be 337 as that is the total she paid for. We start with the one-time fee (85) and add the county fair-grounds cost (42) multiplied by the number of days you rent the booth for. Since we don't know how many days that is, we will make that our variable which we will call x.

So far we have: 85 + 42x

Now we should set the equation equal to the total amount of money Ms. Williams paid.

This will give us: 85 + 42x = 337

To solve the equation:

Our goal is to find x since that is the number of days Ms. Williams rented the booth for.

First, we subtract 85 from both sides of the equation.

42x = 252

Then, we divide both sides by 42 to isolate our variable, x.

x = 6

X is the number of days Ms. Williams rented the booth for. Therefore, Ms. Williams rented a booth at the county fair for 6 days.

this linear equation would have just one solution.

step-by-step explanation:

the reason why this would have one solution is that it is an expression with just one variable. since that variable is not raised to a power, it will always have just one solution.