Question

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?

Answer 1

c = 220

Explanation:

f(x) = cx + d

For the first equation

f(50) = 27,000

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

That's

50c + d = 27,000

For the second equation

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

c = 220

Hope this helps you