A) The table of values for Mo's financial story is as follows:
Time worked in Hours
0
1
2
3
4
5
6
Money Saved in Dollars
90
98
106
114
122
130
138
B) The slope (rate of change) for Mo is $8.00. This means that for every hour Mo works, he saves an additional $8.00.
C) The y-intercept (starting point) for Mo is $90.00. This is the amount of money Mo already had saved before starting his job.
D) The slope-intercept equation that models Mo's story is:
Money Saved = (Hour worked * Rate of change) + Starting point
In this case, the variables are:
Hour worked = the time Mo has worked in hours
Rate of change = $8.00 per hour
Starting point = $90.00
Therefore, the function for Money Saved as a function of Time is:
Money Saved = (Hour worked * $8.00) + $90.00
Task 1 Table and Equation
Mo has $90.00 already saved and has a job making $8.00 per hour.
A)Fill in the table of values for Mo’s financial story
Time worked in Hours
0
1
2
3
4
5
6
Money Saved in Dollars
B) What is the slope (rate of change) for Mo?
C)What is the y intercept (starting point) for Mo?
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
5 answers
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? Handwrite or type your solution to this problem, starting with your equation from Task 1, substituting in the goal value of $130, showing all inverse operation steps and ending with your answer in the correct units.
Mo wants to save enough to buy airpods for $130. How many hours must they work to save enough dollars for that purchase? Handwrite or type your solution to this problem, starting with your equation from Task 1, substituting in the goal value of $130, showing all inverse operation steps and ending with your answer in the correct units.
From Task 1, we have the equation:
Money Saved = (Hour worked * $8.00) + $90.00
We want to find the number of hours Mo must work to save enough dollars for the purchase of airpods, which is $130. Let's substitute $130 for Money Saved in the equation:
$130 = (Hour worked * $8.00) + $90.00
To isolate the Hour worked, we need to perform inverse operations.
Step 1: Subtract $90.00 from both sides of the equation to isolate (Hour worked * $8.00):
$130 - $90.00 = (Hour worked * $8.00)
Step 2: Simplify the left side of the equation:
$40.00 = (Hour worked * $8.00)
Step 3: Divide both sides of the equation by $8.00 to solve for Hour worked:
$40.00 / $8.00 = Hour worked
5 = Hour worked
Therefore, Mo must work 5 hours to save enough dollars for airpods.
Money Saved = (Hour worked * $8.00) + $90.00
We want to find the number of hours Mo must work to save enough dollars for the purchase of airpods, which is $130. Let's substitute $130 for Money Saved in the equation:
$130 = (Hour worked * $8.00) + $90.00
To isolate the Hour worked, we need to perform inverse operations.
Step 1: Subtract $90.00 from both sides of the equation to isolate (Hour worked * $8.00):
$130 - $90.00 = (Hour worked * $8.00)
Step 2: Simplify the left side of the equation:
$40.00 = (Hour worked * $8.00)
Step 3: Divide both sides of the equation by $8.00 to solve for Hour worked:
$40.00 / $8.00 = Hour worked
5 = Hour worked
Therefore, Mo must work 5 hours to save enough dollars for airpods.
what would be the independent variable for the past questions
The independent variable in the previous question is the "Time worked in Hours". This variable represents the number of hours Mo has worked. It is the variable that we can control or change in order to observe and analyze its effect on the dependent variable, which is the "Money Saved in Dollars".