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In 1990, the cost of tuition at a large Midwestern university was $98 per credit hour. In 1997, tuition has risen to $168 per credit hour.
Determine a linear function C ( x ) to represent the cost of tuition as a function of x , the number of years since 1990.
In the year 2004, tuition will be ________ per credit hour.
In the year__________ tuition will be $456 per credit hour.

Respuesta :

mujtaba226

Answer: Linear function C(x) would be,

C(x) = 98 + 10(x - 1990)

(x is the year)

Now for x = 2004

C(2004) = 98 + 10( 2004 - 1990)

C(2004) = 98 + 10(14)

C(2004) = 98 + 140

C(2004) = 238

In year 2004 tution fee will be $238 per credit hour.

Now C(x) = 456

So,

456 = 98 + 10(x - 1990)

456- 98 = 10 (x - 1990)

358 = 10(x - 1990)

358/10 = x - 1990

35.8 + 1990 = x

2025.8 = x

So the year will be 2025.

Step-by-step explanation:

"10" is the rise in tution fee per year.

168-98=70

$70 is the rise in fee in 7 years. So,

70/7 = 10.

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