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Paha777 [63]
3 years ago
13

The linear function f is defined by f(x)= cx + d, where c and d are constants. If f(50) = 27,000 and f(100)= 38,000, what is the

value of c?
Mathematics
1 answer:
yKpoI14uk [10]3 years ago
5 0

Answer:

<h2>c = 220</h2>

Step-by-step explanation:

f(x) = cx + d

<u>For the first equation</u>

f(50) = 27,000

Substitute the value of x that's 50 into the expression

That's

50c + d = 27,000

<u>For the second equation</u>

f(100) = 38,000

Substitute the value of x that's 100 into the expression

We have

100c + d = 38,000

Subtract the first equation from the second one to eliminate d

That's

100c - 50c + d - d = 38,000 - 27,000

50c = 11,000

Divide both sides by 50

We have the final answer as

<h3>c = 220</h3>

Hope this helps you

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To convert this into a percentage we covert it to decimal then multiply by 100 :

$0.70/$2.00 = 0.35

0.35 × 100 = 35%

Our final answer is 35%.

Hope this helped and have a good day

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