10
QuizMultiple Choice

Slope

Question 10 • Applications and Modeling

Four years ago, you invested $1000 in an account that returns 5.1% annually. The table shows the value of your investment at the end of each year.Time (in years)Value (in dollars)1$1051.002$1104.603$1160.944$1220.14Does the data represent a linear function? Why or why not?

Answer
A
Yes, it appears on a straight line.
B
No, it does not appear on a straight line.
C
Yes, the average rate of change is constant.
D
There is not enough information to determine whether this is a linear function.

Explanation

A linear function has a constant change in value for each one-year increase in time. Here, the increases are $53.60 (from $1,051.00 to $1,104.60), $56.34, and $59.20, so they are not constant. Therefore, the data do not represent a linear function; choice b says it does not appear on a straight line.

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