Use inductive reasoning to find the solution to the problem; then check it by performing the calculation.

$$\begin{aligned} &0 \cdot 9+8=8 \\ &9 \cdot 9+7=88 \\ &98 \cdot 9+6=888 \\ &987 \cdot 9+5=8,888 \\ &\vdots \\ &9,876,543 \cdot 9+1=? \end{aligned}$$

At the campus bookstore, a stocker has to move three laptops in bags that weigh 6 pounds each and six backpacks that weigh 8 pounds each. If she lifts them all at once to move them out of the way, how much weight does she lift?

Estimate the time it would take you to drive 237 miles at 37 miles per hour.

A video store sells used DVDs for $8.95, tax included. About how many could you buy with the$130 you got for selling your textbooks back?

Use inductive reasoning to fi nd a pattern for the answers. Then use the pattern to guess the result of the fi nal calculation, and perform the operation to see if your answer is correct.

$$\begin{aligned} 1 \cdot 1 &=1 \\ 11 \cdot 11 &=121 \\ 111 \cdot 111 &=12,321 \\ 1,111 \cdot 1,111 &=1,234,321 \\ 11,111 \cdot 11,111 &=? \end{aligned}$$

At M.T. Wallatts University, it costs a student $689 per credit-hour to attend.

• Estimate the cost for a student to attend one semester if he registers for 9 credit-hours.
• If a student makes$11 an hour at her parttime job (after taxes) and works 30 hours a week, approximately how many weeks will she have to work to afford one semester with 9 credit-hours?

Use inductive reasoning to fi nd a pattern for the answers. Then use the pattern to guess the result of the fi nal calculation, and perform the operation to see if your answer is correct.

$$1 \times 8+1=9\\ 12 \times 8+2=98\\ 123 \times 8+3=987\\ 1,234 \times 8+4=9,876\\ 12,345 \times 8+5=?$$

You have one-half of an energy drink left. If you drink one-half of that, how much of your energy drink do you have left?

Estimate the cost of fi ve espresso machines that cost $39.95 each.

Estimate the distance between two cities that are 4 inches apart if the scale on a map is 1/2 inch =8 miles..

Use inductive reasoning to fi nd a pattern for the answers. Then use the pattern to guess the result of the fi nal calculation, and perform the operation to see if your answer is correct.

$$\begin{aligned} 9 & \times 9=81 \\ 99 & \times 99=9,801 \\ 999 & \times 999=998,001 \\ 9,999 & \times 9,999=99,980,001 \\ 99,999 & \times 99,999=? \end{aligned}$$

For a specific year, the number of homicides reported for selected cities is shown here. Estimate the number of homicides in Baltimore and the difference between the number of homicides in Chicago and Atlanta..

A family of six consists of four people older than 12 and two people 12 or under. Tickets into an amusement park are $57.95 for those over 12 and$53.95 for those 12 and under. Estimate how much it would cost the family to go to the amusement park.

Estimate the total cost of eight energy-saving lightbulbs on sale for $16.99 each.