5 star coffee : f(x) = 8x + 40....or y = 8x + 40
custom coffee : f(x) = 12.5x + 25 or y = 12.5x + 25
the monthly fee of custom coffee, which has a monthly fee (slope) of 12.5, will have a steeper slope then the monthly fee (slope) of 5 star coffee, which has a slope of 8.
8x + 40 = 12.5x + 25
40 - 25 = 12.5x - 8x
15 = 4.5x
15/4.5 = x
3 1/3 = x.......so they would cost the same at 3 1/3 months
Therefore, custom coffee would be a better deal if u were a member for less then 3 1/3 months......and 5 star coffee would be a better deal if u were there for more then 3 1/3 months
Answer:
E=5(m+c)
Step-by-step explanation:
Since Bryan earns $5 for every lawn mowed, the equation right now is 5m. We have to add the $5 for the cars washed, 5c.
- 5m+5c
- That can be factored, 5(m+c)
Answer:
56th second
Step-by-step explanation:
Given
![Lola = Every\ 8\ seconds](https://tex.z-dn.net/?f=Lola%20%3D%20Every%5C%208%5C%20seconds)
![Keegan = Every\ 14\ seconds](https://tex.z-dn.net/?f=Keegan%20%3D%20Every%5C%2014%5C%20seconds)
![Time = 2\ minutes\ 10\ seconds](https://tex.z-dn.net/?f=Time%20%3D%202%5C%20minutes%5C%2010%5C%20seconds)
Required
Determine when they sing together
First, we convert the total time to seconds.
![Time = 2\ minutes\ 10\ seconds](https://tex.z-dn.net/?f=Time%20%3D%202%5C%20minutes%5C%2010%5C%20seconds)
![Time = 2 * 60\ seconds + 10\ seconds](https://tex.z-dn.net/?f=Time%20%3D%202%20%2A%2060%5C%20seconds%20%2B%20%2010%5C%20seconds)
![Time = 120\ seconds + 10\ seconds](https://tex.z-dn.net/?f=Time%20%3D%20120%5C%20seconds%20%2B%20%2010%5C%20seconds)
![Time = 130\ seconds](https://tex.z-dn.net/?f=Time%20%3D%20130%5C%20seconds)
Next, we determine the Least Common Multiple of Lola and Keegan's time:
Lola:
![8\ seconds = 8, 16, 24, 32, 40, 48, 56, 64, 72, 80, 88, 96, 104, 112, 120, 128](https://tex.z-dn.net/?f=8%5C%20seconds%20%3D%208%2C%2016%2C%2024%2C%2032%2C%2040%2C%2048%2C%2056%2C%2064%2C%2072%2C%2080%2C%2088%2C%2096%2C%20104%2C%20112%2C%20120%2C%20128)
Keegan:
![14\ seconds = 14, 28, 42, 56, 70, 84, 98, 112, 126](https://tex.z-dn.net/?f=14%5C%20seconds%20%3D%2014%2C%2028%2C%2042%2C%2056%2C%2070%2C%2084%2C%2098%2C%20112%2C%20126)
<em>The least common multiple is 56. Hence, they will sing together at the 56th second</em>
The square root of 144 is 12 hope i helped