Question

Suppose you are saving money for a new cell phone. At week 0 you have $20 and at week 10 you have $100. If y represents the amount of money you have saved and x represents the number of weeks, find and interpret the slope of the linear equation

Answer 1

To find the slope of the linear equation, we need to use the formula for calculating slope, which is:

slope (m) = (change in y) / (change in x)

In this case, the change in y represents the change in the amount of money saved, and the change in x represents the change in the number of weeks.

Using the given information, we can calculate the change in y and x:

Change in y = $100 - $20 = $80
Change in x = 10 weeks - 0 weeks = 10 weeks

Now, we can substitute these values into the slope formula:

slope (m) = (change in y) / (change in x)
= $80 / 10 weeks
= $8 per week

Interpretation:
The slope of the linear equation is $8 per week. This means that for each week that passes, the amount of money you save increases by $8.