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ser-zykov [4K]
3 years ago
14

Duru has an ice-cream stand, which she opens on days that are forecasted to be warmer than 10°C.

Mathematics
1 answer:
Amanda [17]3 years ago
8 0

Answer:

P(c(t)) =  20t-120

Step-by-step explanation:

Given

P(n) = 2n - 20

C(t) = 50 + 10(t - 10)

Required

Determine P(C(t))

The implication of the question is to solve for P(C(t))

Given that

C(t) = 50 + 10(t - 10) and P(n) = 2n - 20

P(c(t)) would be

P(c(t)) = 2(50 + 10(t - 10)) - 20

P(c(t)) = 2(50 + 10t - 100) - 20

Collect Like Terms

P(c(t)) = 2(50  - 100+ 10t) - 20

P(c(t)) = 2(-50+ 10t) - 20

Open Bracket

P(c(t)) = -100+ 20t - 20

Collect Like Terms

P(c(t)) =  20t-100 - 20

P(c(t)) =  20t-120

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