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neonofarm [45]
3 years ago
7

Solve appropriate word problems by modeling them with linear equations in two variables.

Mathematics
1 answer:
Nesterboy [21]3 years ago
6 0

<em><u>The cost of production equation is:</u></em>

C = 10n + 20000

<em><u>Solution:</u></em>

<em><u>The equation representing the cost, C, of producing n tires at Royal Tires Co. can be written as:</u></em>

C = mn + f

Where,

C = cost

n = number of tires

f = company's fixed cost

<em><u>It costs $30,000 to produce 1,000 tires while it costs $50,000 to produce 3,000 tires</u></em>

Therefore,

30, 000 = m(1000) + f

50, 000 = m(3000) + f

Which is,

1000m + f = 30000 ------- eqn 1

3000m + f = 50000 ------- eqn 2

Subtract eqn 1 from eqn 2

3000m + f = 50000

1000m + f = 30000

( - ) -------------------

2000m = 20,000

m = 10

Substitute m = 10 in eqn 1

1000(10) + f = 30000

f = 30000 - 10000

f = 20,000

Thus the equation is:

C = 10n + 20000

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