Mom currently has $130 and plans to earn more money each of the eight weekends this summer. She wants at least $1250 by 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.
Let's say Mom needs to earn $x each weekend.
Over 8 weekends, she would earn a total of 8 * x.
If she currently has $130, then by the end of the summer, she would have a total of 130 + 8 * x.
According to the problem, she wants at least $1250 by the end of the summer, so we can write the equation:
130 + 8 * x ≥ 1250
Subtracting 130 from both sides of the inequality, we get:
8 * x ≥ 1120
Dividing both sides of the inequality by 8, we get:
x ≥ 140
Therefore, she needs to earn at least $140 each weekend.
To graph the solution on a number line, we can plot all the possible values for x that satisfy the inequality. In this case, since x ≥ 140, we would fill in all the numbers from 140 onwards on the number line.