Write the equation for Lorena's savings using the given information. Use the graph to find Benita's savings after 6 weeks.
Lorena will have $8 more.
Practice makes perfect
In order to find which girl will have more money in 6 weeks, let's calculate each girl's savings and compare them.
Lorena's Savings
To find Lorena's savings after the 6 weeks, let's first write the equation for the situation using the given information. We are going to write the equation in slope-intercept form
y=mx+b,
where m is the slope and b is the y-intercept. We know that Lorena started with $40. This means that after 0 weeks of savings, she had $40. This value represents the y-intercept.
b= 40
Also, we are given that Lorena adds $8 to her savings each week. This value represents the rate of change, m= 8. Therefore, our equation in slope-intercept form is as follows.
y= 8x+ 40
Now, if we substitute 6 for x, which is the number of weeks that have passed, we can calculate the value of y, the amount of Lorena's savings.
We are given a graph that describes Benita's savings plan. The x-values represent the number of weeks that have passed and y-values represent the amount of savings. Thus, to find how much Benita will have after 6 weeks of saving, we need to find the value of y when x is 6.
We can see that, when x=6, y=80. This means that Benita will have saved $80.
Compare their savings
We have found that Lorena will save $88 in 6 weeks and Benita will save $80. As we can see, Lorena's savings will be greater. Let's calculate the difference between them.
88-80=$8
Lorena will save $8 more than Benita.
