Multiplying & Dividing Integers (1.4 & 1.5) Problem Solving

Multiplying & Dividing Integers (1.4 & 1.5) Problem Solving

Example 1

The bar graph shows the number of taxis a company has in service. The number of taxis decreases by the same amount each year for 4 years. Find the total change in the number of taxis.  

Multiple Choice

The bar graph shows the number of taxis a company has in service. The number of taxis decreases by the same amount each year for 4 years. Find the total change in the number of taxis.

Which expression best represents this situation?

• $$50\left(4\right)$$

• $$-50\left(4\right)$$
  

• $$50\left(-4\right)$$
  

• $$\frac{-50}{4}$$

Multiple Choice

The bar graph shows the number of taxis a company has in service. The number of taxis decreases by the same amount each year for 4 years. Find the total change in the number of taxis.

Which answer makes the most sense?

• an increase of 50 taxis

• a decrease of 50 taxis

• a decrease of 200 taxis

• an increase of 200 taxis

DISCUSS Example 1

The bar graph shows the number of taxis a company has in service. The number of taxis decreases by the same amount each year for 4 years. Find the total change in the number of taxis. 

Answer: There was a decrease of 200 taxis

Example 2

You measure the height of the tide using the support beams of a pier. your measurements are shown in the picture. What is the mean hourly change in the height? 

Fill in the Blanks

You measure the height of the tide using the support beams of a pier. your measurements are shown in the picture.

What is the CHANGE in height? Enter a positive or negative number followed by the unit inches (Ex:

inches)

Fill in the Blanks

You measure the height of the tide using the support beams of a pier. your measurements are shown in the picture.

What is the CHANGE in time? Enter a positive or negative number followed by the unit hours (Ex:

hours)

Fill in the Blanks

You measure the height of the tide using the support beams of a pier. your measurements are shown in the picture.

What is the mean. Enter a positive or negative number followed by the unit inches per hour (Ex:

inches per hour)

DISCUSS Example 2

You measure the height of the tide using the support beams of a pier. your measurements are shown in the picture. What is the mean hourly change in the height? 

Answer: -8.5 inches per hour

Fill in the Blanks

YOU TRY #1

An elevator is 180 feet above the first floor. It descends 12 feet each second. What is the elevators average speed in feet per second?

Type out the following sentence with your answer in it (use ascends OR descends, depending on your answer):

The elevator ascends/descends

feet per second.

Use only ONE of the green words (ascends or descends)

Fill in the Blanks

YOU TRY #2 A gym offers a discount when more than one member of the family joins. The first member  $\left(n=0\right)$   pays $550 per year. The second member  $\left(n=1\right)$   gets a discount of $75 per year. The third member  $\left(n=2\right)$   gets an additional $75 discount.  The price for the nth member is given by the expression  $550+\left(-75n\right)$  

What is the price for the fourth member  $\left(n=3\right)$  to join?  Enter your answer with a dollar sign in front.