The table lists how financial aid income cutoffs (in dollars) for a family of four have changed over time. Use the midpoint formula to approximate the financial aid cutoff for 1985. $$\begin{array} { c | c }
\text { Year } & \text { Income (in dollars) } \
\hline 1960 & 20,250 \
1970 & 25,500 \
1980 & 30,750 \
1990 & 36,000 \
2000 & 41,250
\end{array}$$
A) $33,375
B) $17,625
C) $20,250
D) $51,750

Question

The table lists how financial aid income cutoffs (in dollars) for a family of four have changed over time. Use the midpoint formula to approximate the financial aid cutoff for 1985. $$\begin{array} { c | c } 
\text { Year } & \text { Income (in dollars) } \
\hline 1960 & 20,250 \
1970 & 25,500 \
1980 & 30,750 \
1990 & 36,000 \
2000 & 41,250
\end{array}$$
A) $33,375
B) $17,625
C) $20,250
D) $51,750

Quizplus · Accepted Answer

The midpoint formula is used to find the average between two points. To approximate the financial aid cutoff for 1985, we can use the data points for 1980 and 1990. The cutoffs for these years are $30,750 and $36,000, respectively. Using the midpoint formula, $\frac{30,750 + 36,000}{2} = \frac{66,750}{2} = 33,375$.

The Table Lists How Financial Aid Income Cutoffs (In Dollars)