The number of time it would take Todd to paint the room alone is 15 hours.
- Let the Todd's time be t.
<u>Given the following data:</u>
To calculate the number of time it would take Todd to paint the room alone:
How to solve a word problem:
In order to solve this exercise, we would first of all calculate their individual rate and combined rate respectively. Finally, we would add their individual rates together and equate it to the combined rate.
<u>For </u><u>Sue</u><u>:</u>
![Rate = \frac{1}{10} \;work/hr](https://tex.z-dn.net/?f=Rate%20%3D%20%5Cfrac%7B1%7D%7B10%7D%20%5C%3Bwork%2Fhr)
<u>For </u><u>Jeff</u><u>:</u>
![Rate = \frac{1}{12} \;work/hr](https://tex.z-dn.net/?f=Rate%20%3D%20%5Cfrac%7B1%7D%7B12%7D%20%5C%3Bwork%2Fhr)
<u>For </u><u>Todd</u><u>:</u>
![Rate = \frac{1}{t} \;work/hr](https://tex.z-dn.net/?f=Rate%20%3D%20%5Cfrac%7B1%7D%7Bt%7D%20%5C%3Bwork%2Fhr)
<u>Combined rate:</u>
![Rate = \frac{1}{4} \;work/hr](https://tex.z-dn.net/?f=Rate%20%3D%20%5Cfrac%7B1%7D%7B4%7D%20%5C%3Bwork%2Fhr)
Adding the individual rates, we have:
![\frac{1}{10} +\frac{1}{12} +\frac{1}{t} =\frac{1}{4} \\ \\ ](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B10%7D%20%2B%5Cfrac%7B1%7D%7B12%7D%20%2B%5Cfrac%7B1%7D%7Bt%7D%20%3D%5Cfrac%7B1%7D%7B4%7D%20%5C%5C%0A%5C%5C%0A)
Multiplying all through by 120t, we have:
![12t+10t+120=30t\\ \\ 22t+120=30t\\ \\ 120=30t-22t\\ \\ 120=8t\\ \\ t=\frac{120}{8}](https://tex.z-dn.net/?f=12t%2B10t%2B120%3D30t%5C%5C%0A%5C%5C%0A22t%2B120%3D30t%5C%5C%0A%5C%5C%0A120%3D30t-22t%5C%5C%0A%5C%5C%0A120%3D8t%5C%5C%0A%5C%5C%0At%3D%5Cfrac%7B120%7D%7B8%7D%20)
t = 15 hours.
Read more on word problems here: brainly.com/question/13170908
Post this again so more people can see it cuz that’s what I do when no one answers my questions
Double dip ice-cream cone = 25 + 2(75) = 175 cents = $1.75
Answer: $1.75
"Interpret the rate of change and the y-intercept.
"
Rate of change is 5. Each ticket costs 5$.
Y-intercept is (0,-17). They spent $17 on supplies before they sold tickets.
(Sorry, you probably already know the answer)