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
So, the production of 125 pots costs $612.5.
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.
To find the difference, subtract Thea's earnings from Hadley's earnings.
Thea earned $54 more than Hadley.
Answer:
600 miles.
Step-by-step explanation:
So basically we can write both plans as linear functions:
F(x) = $59.96+$0.14 . x
S(x) = $71.96+$0.12 . x
Where F(x) is the first plan, S(x) is the second one and X are the miles driven.
To know how many miles does Mai need to drive for the two plans to cost the same, we equalize both equations and isolate x.
F(x) = S (x)
Mai has to drive 600 miles for the two plans to cost the same-
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