nancieabreu4491

23.02.2021 • 

Mathematics

You were given two options of cars to rent to drive to California with renting prices listed below. • The Honda Civic would cost $15 plus $0.50 per mile driven.
• The Ford Focus would cost $25 plus $0.25 per mile driven.
Part A: Create and solve an equation to represent after how many miles driven, m, the two cars would be the same price to rent. Justify your work.
Part B: How many miles must you drive for the Honda Civic to be the better option? Justify your answer.
Part C: Create an inequality to represent any number of miles for which the Honda Civic would be the better renting option. Explain what your inequality means.

Ответ:

dean111375

16.02.2022

Mathematics

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k = 1

P(t) = (t + 20)²

Step-by-step explanation:

P' = k√P = k P⁰•⁵

To solve for k,

P' = 10 rabbits/month

P = 100 rabbits

10 = k √100

10 = 10k

k = 1

To solve for P(t)

P' = dP/dt

(dP/dt) = kP⁰•⁵

dP/P⁰•⁵ = k dt

P⁻⁰•⁵ dP = k dt

∫ P⁻⁰•⁵ dP = ∫ k dt

2P⁰•⁵ = kt + c

At t = 0, P = 100

2(100)⁰•⁵ = 0 + c

2 × 10 = c

c = 20

2P⁰•⁵ = kt + c

2P⁰•⁵ = kt + 20

Recall, k = 1

2P⁰•⁵ = t + 20

P⁰•⁵ = (t + 20)

P(t) = (t + 20)²

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