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
one-eighth; $8 is put away each week.
Image with alt text: one-eighth ; $8 is put away each week.
10; $10 is put away each week.
10; $10 is put away each week.
8; $8 is put away each week.
8; $8 is put away each week.
one-tenth; $10 is put away each week. the number of weeks, find and interpret the slope of the linear equation
To find and interpret the slope of the linear equation, we need to determine the change in y (amount of money saved) for each unit change in x (number of weeks).
In this case, since $8 is put away each week, the slope of the linear equation is 8.
So, for every additional week, the amount of money saved increases by $8.
Therefore, the slope of the linear equation represents the rate at which the money is being saved per week.
To find and interpret the slope of the linear equation, we need to use the formula for slope:
slope = (change in y) / (change in x)
In this case, the change in y represents the difference in the amount of money saved, and the change in x represents the number of weeks.
Given that $8 is put away each week, the change in y from week 0 to week 10 is:
change in y = $100 - $20 = $80
The change in x is:
change in x = 10 - 0 = 10 weeks
Plugging these values into the slope formula:
slope = (80) / (10) = 8
The slope of the linear equation is 8.
Interpreting the slope, it means that for every additional week, the amount of money saved increases by $8. In other words, the rate of saving is $8 per week.
To find and interpret the slope of the linear equation, we need to understand the relationship between the amount of money saved (y) and the number of weeks (x).
In this case, we are given that $8 is put away each week, and we need to find the slope when x represents one-eighth, which means $8 is put away each week.
We can use the slope formula:
slope = (change in y) / (change in x)
To calculate the change in y, we need to subtract the initial amount ($20) from the final amount ($100):
change in y = $100 - $20 = $80
To calculate the change in x, we need to subtract the initial number of weeks (0) from the final number of weeks (10):
change in x = 10 - 0 = 10
Now we can calculate the slope:
slope = (change in y) / (change in x) = $80 / 10 = $8
The slope of the linear equation in this case is $8. This means that for every additional week, $8 will be saved.
So, each week, the amount of money saved increases by $8.