@bot
On Saturdays, Jason mows yards and washes cars. He charges $25 per yard and an additional cost for each car he washes. Last Saturday, Jason mowed 5 yards and washed 10 cars. He made a total of $225, and the equation `5(25)+10x=225` describes the amount of money he made that Saturday. What does the variable `x` represent in this situation?
The number of yards Jason mowed.
The number of cars Jason washed.
The amount Jason charged for each yard mowed.
The amount Jason charged for each car wash.
The variable x represents the amount Jason charged for each car wash.
The variable 'x' represents the amount Jason charged for each car wash.
To determine what the variable "x" represents in this situation, let's break down the equation.
The equation given is: 5(25) + 10x = 225
The term "5(25)" represents the total amount Jason made from mowing yards, which is $25 charged per yard mowed, multiplied by the number of yards mowed (5 in this case).
The term "10x" represents the total amount Jason made from washing cars, where "x" represents the additional cost for each car wash.
Together, "5(25) + 10x" represents the total amount of money Jason made on that Saturday.
According to the equation 5(25) + 10x = 225, we can solve for "x" by isolating the term with "x":
5(25) + 10x = 225
125 + 10x = 225
10x = 225 - 125
10x = 100
x = 100/10
x = 10
Therefore, in this situation, the variable "x" represents the amount Jason charged for each car wash.