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Semenov [28]
3 years ago
15

Malcom’s Tee Shirt & Jacket Company is to produce a new line of rain coats. There are fixed costs of $570 to set up for prod

uction, and variable costs of $30 per jacket. Write an equation that can be used to determine the total cost, C(x), encountered by Malcom’s Company in producing x rain coats, and use the equation to find the total cost of producing 118 rain coats.
a) $4110b) $4102c) $4090d) $4122e) none
Mathematics
1 answer:
Dimas [21]3 years ago
6 0

Answer:

C(x)=30x+570

a) $4110

Step-by-step explanation:

Let x represent number of rain coats and C(x) represent total cost to produce new line of rain coats.

We have been given that the fixed costs of $570 to set up for production, and variable costs of $30 per jacket.

The cost of x jackets would be 30x.

The total cost of x jackets would be variable cost of x jackets plus fixed costs that is $570.

Therefore, the total cost of producing x rain coats would be C(x)=30x+570.

To find the total cost of producing 118 rain coats, we will substitute x=118 in the above equation as:

C(118)=30(118)+570

C(118)=3540+570

C(118)=4110

Therefore, the total cost of producing 118 rain coats is $4110 and option 'a' is the correct choice.

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Answer:

70 cars  per year.

Step-by-step explanation:

Given:

In 1984 a locally-owned car company sold 2,743 cars.

In 2003, the car sales rose to 4,069.

Question asked:

What was the average rate of change for the total number of cars sold?

Solution:

In 2003 number of cars sold = 4069

In 1984 number of cars sold = 2743

Change in the number of car sold = 4069 - 2743

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Now, time interval between 2003 and 1984 = 19

The\ average\ rate\ of\ change=\frac{Change\ in\ the\ number\ of\ car\ sold}{Time \ interval}

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Thus, the average rate of change for the total number of cars sold is 70 cars  per year.

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<h3>The missing part of the question</h3>

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A car trip from New York to Cincinnati took 12.5 hours. The return trip by the same route took 1 hour longer because the average
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