Solve application problems by dividing integers

Over the course of a year, a homeowner reduced the price of his house by an equal amount each month because it was not selling. By the end of the year, the price was $11,400 less than at the beginning of the year.

By how much was the price of the house reduced each month? Use a signed number.

The owner of a sailboat reduced the price of the boat by an equal amount each month because there were no interested buyers. After 8 months, and a $960 total reduction in price, the boat sold.

By how much was the price of the boat reduced each month? Use a signed number.

The Bureau of Labor Statistics estimated that the United States lost 162,000 auto manufacturing jobs in 2008.

What was the average number of jobs lost per month that year? Use a signed number.

A furniture store owner reduced the price of an oak table by an equal amount each week because it was not selling. After 6 weeks, and a $210 total reduction in price, the table was purchased.

By how much was the price of the table reduced each week? Use a signed number.

During a five-hour period, the temperature steadily dropped 20°F.

By how many degrees did the temperature change each hour? Use a signed number.

In a series of 3 equal dives, a submarine is programmed to reach a depth of 3,030 feet below the ocean surface.

What signed number describes how deep each dive will be?

The owner of a clothing store decides to reduce the price on a line of jeans that are not selling. She can afford to lose $300 of projected income across 20 pairs of jeans.

By how much can she mark down each pair? Use a signed number.

On Monday, the value of Maria's 255 shares of stock was at an all-time high. By Friday, the total value had fallen $4,335.

What was her per-share loss that week? Use a signed number.

In a cost-cutting effort, a company decides to cut $5,840,000 from its annual budget. All 160 departments will have their budgets reduced by an equal amount.

By how much will each department's budget be reduced? Use a signed number.

Over a week's time (7 days), engineers at a city water reservoir released enough water to lower the water level 105 feet. Complete the four-step solution:

Analyze: Total change = \(-105\) ft over 7 days.

Form: Change per day = \(-105 \div\) 1($)

Solve: \(-105 \div 7 =\) 2($) ft

State: The water level changed by 3($) ft each day.