C because the parabola opens down and the vertex is equal to or less than 4.
Students may not truthfully reply because they fear it will affect their grade
Answer:
Base Fee = $7
Extra charges = $7
Step-by-step explanation:
Represent the base charge with x and the additiional charges with y.
For the 5 hours job, we have:
![42 = x + 5y](https://tex.z-dn.net/?f=42%20%3D%20x%20%2B%205y)
For the 3 hour job
![28 = x + 3y](https://tex.z-dn.net/?f=28%20%3D%20x%20%2B%203y)
Solving for x and y;
![42 = x + 5y](https://tex.z-dn.net/?f=42%20%3D%20x%20%2B%205y)
![28 = x + 3y](https://tex.z-dn.net/?f=28%20%3D%20x%20%2B%203y)
Subtract the second equation from the first
![42 - 28 = x - x + 5y - 3y](https://tex.z-dn.net/?f=42%20-%2028%20%3D%20x%20-%20x%20%2B%205y%20-%203y)
![14 = 2y](https://tex.z-dn.net/?f=14%20%3D%202y)
Solve for y
![y = 14/2](https://tex.z-dn.net/?f=y%20%3D%2014%2F2)
![y = 7](https://tex.z-dn.net/?f=y%20%3D%207)
Substitute 7 for y n the first equation
![42 = x + 5y](https://tex.z-dn.net/?f=42%20%3D%20x%20%2B%205y)
![42 = x + 5 * 7](https://tex.z-dn.net/?f=42%20%3D%20x%20%2B%205%20%2A%207)
![42 = x + 35](https://tex.z-dn.net/?f=42%20%3D%20x%20%2B%2035)
![x = 42 - 35](https://tex.z-dn.net/?f=x%20%3D%2042%20-%2035)
![x = 7](https://tex.z-dn.net/?f=x%20%3D%207)
Volume of the cone=1/3πr^2h
V=1/3π(1.25)^2×2.75
V≈4.5 cubic inches
Volume of the sphere=4/3πr^3
V≈0.07 cubic inches
4.5-0.07=4.43. As a result, the volume of the cone that can fipp with ice is about 4.43 cubic inches. Hope it help!