write a function that has a greater rate of change than one function but a smaller rate of change than the other function

1 answer:

4 0

The function y = 5x has a rate of change that is in between the equation y = 4x and y = 6x.

In an equation, the rate of change is also called the slope. It is the amount that a number is increasing by. We put that value in front of the x in most equations.

In the equal that I gave, the 5 is in between the rates of 4 and 6.

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The cost of producing pots is the initial investment, $175, plus $3.50 in materials per pot. Therefore, the function C(p) = 175

umka21 [38]

Q1. The answer is 612.50

The function is C(p) = 175 + 3.5p
p - the number of pots

If we need to produce 125 pots, then p = 125
C(p) is then C(125). So calculate C(125)
C(125) = 175 + 3.5 * 125 = 175 + 437.5 = 612.5
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Q2. The answer is 78.

The function is C(p) = 175 + 3.5p
C(p) is the cost of producing a p number of pots.
If our budget is $450, then C(p) = 450. So, we need to calculate p.
C(p) = 450
C(p) = 175 + 3.5p
450 = 175 + 3.5p
3.5p = 450 - 175
3.5p = 275
p = 275/3.5
p = 78.57

So, the number of pots that can be produced for $450 is 78.
We got 78.57 for p, but it must be rounded to the smallest rounded number because you cannot produce 0.57 of a pot.

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