a) Money Saved in Dollars- 90, 98,106, 114,122,130,138.
b) The slope is (138 - 90) / (6 - 0) = 8.
c) The y-intercept is 90 .
d) The slope-intercept equation for Mo's story is: Money Saved = 8 * Time + 90 .Mo needs to work for 5 hours to save enough money to buy the airpods.
Mo has already saved $90 and wants to buy airpods that cost $100. He makes $8 per hour.
a) Fill in the table of values for Mo's financial story:
Time worked in Hours Money Saved in Dollars
0 90
1 98
2 106
3 114
4 122
5 130
6 138
b) What is the slope (rate of change) for Mo?
The slope is the rate of change of Mo's savings. It is calculated by the difference in savings divided by the difference in time.
In this case, the slope is (138 - 90) / (6 - 0) = 8.
c) What is the y intercept (starting point) for Mo?
The y-intercept is the point where the line crosses the y-axis. In this case, the y-intercept is 90, because that is how much money Mo already has saved.
d) Put that information together and write the slope intercept equation that models Mo's story. Define your variables and write the function for Money Saved as a function of Time
The slope-intercept equation for Mo's story is:
Money Saved = 8 * Time + 90
Task 2 Solve for an Unknown
Mo wants to save enough to buy airpods for $130. How many hours must they work to save enough dollars for that purchase?
We can use the equation from Task 1 to solve for the number of hours Mo needs to work.
We know that Mo wants to save $130, so we can plug that in for Money Saved in the equation:
130 = 8 * Time + 90
Subtracting 90 from both sides, we get:
40 = 8 * Time
Dividing both sides by 8, we get:
5 = Time
Therefore, Mo needs to work for 5 hours to save enough money to buy the airpods.