Maeve currenty has $130 and plans to eam more money each of the o weekends this summer. She wants at least 31.250 oy the end of the summer. How much does she need to earn each weekend? Assume she earns the same amount each weekend. Solve her problem, and then graph the solution on a number line. (1 point)
Maeve currently has $130 and wants to earn at least $31.25 by the end of the summer. Let's assume she has "x" weekends in the summer.
To find out how much she needs to earn each weekend, we will divide the total amount she wants to earn by the number of weekends: $31.25 / x.
We know that she currently has $130, so the equation becomes:
$130 + ($31.25 / x) = $31.25
To solve the equation, we need to isolate the variable "x":
($31.25 / x) = $31.25 - $130
($31.25 / x) = -$98.75
To get rid of the fraction, we can multiply both sides of the equation by "x":
$31.25 = -$98.75 * x
Now we can solve for "x" by dividing both sides of the equation by -$98.75:
x = $31.25 / -$98.75
Since we cannot have a negative number of weekends, we can disregard the negative sign. We only consider the magnitude of the result:
x = -$31.25 / -$98.75
x ≈ 0.316
So, Maeve needs to earn approximately $0.316 each weekend.
Graphing the solution on a number line:
We can represent the number of weekends on a horizontal number line. Starting from 0 and going to the right, we can mark a point at 0.316. This represents the approximate amount Maeve needs to earn each weekend.