Modeling Quantities

For the following problem, choose the correct proportion.

The Empire State Building is 1250 ft tall. The Statue of Liberty is 305 ft tall. At a certain time of day, the Statue of Liberty casts a shadow of 165 ft. What is the length of the shadow cast by the Empire State Building at the same time of day?

• $\frac{1250\ ft}{x\ ft}=\frac{165\ ft}{305\ ft}$

• $\frac{x\ ft}{1250\ ft}=\frac{305\ ft}{165\ ft}$

• $\frac{1250\ ft}{165\ ft}=\frac{x\ ft}{305\ ft}$

• $\frac{1250\ ft}{x\ ft}=\frac{305\ ft}{165\ ft}$

Tags

CCSS.7.RP.A.2C

The Empire State Building is 1250 ft tall. The Statue of Liberty is 305 ft tall. At a certain time of day, the Statue of Liberty casts a shadow of 165 ft. What is the length of the shadow cast by the Empire State Building at the same time of day?

•  $676.23\ ft$ 

•  $2310.61\ ft$ 

•  $40.26\ ft$ 

•  $165\ ft$ 

Tags

CCSS.HSG.SRT.B.4

The distance from Sacramento to Maui is 2402 miles. On a map, 1 inch represents 35 miles. How far are Sacramento and Maui on the map?

• 84070 inches

• 68.63 inches

• 2367 inches

• 2437 inches

Tags

CCSS.6.RP.A.3B

On a map, 3 inches represents 500 miles. Sacramento and New York are 16.92 inches from one another on the map. How far away are they in real life?

• 50.76 miles

• 9.85 miles

• 2820 miles

• 985.02 miles

Tags

CCSS.6.RP.A.3B

A soft-serve ice cream machine makes 1200 gallons per hour. Convert this rate to cups per minute.

Recall: 16 cups = 1 gallon, 60 minutes = 1 hour

Just write the answer (with a label)...no need for complete sentences.

Tags

CCSS.6.RP.A.3D

You know 1000 mg = 1 g.  Convert 2.5 grams into milligrams.

• 25 mg
• 25,000 mg
• 250 mg
• 2500 mg

Tags

CCSS.4.MD.A.1

What is a ratio?

• The Italian way of saying Rat.

• Someone saying Radio with an accent.

• A comparison of two quantities using division.

• An equation created with two or more ratios.

What is a proportion?

• The opposite of an antiportion.

• The largest portion of a cake.

• A comparison of two quantities using division.

• An equation created with two or more ratios.

You know that 12 inches = 1 foot. Convert 72 inches to feet.

• 720 feet

• 6 feet

• 6 inches

• 72 feet

You know 1000 mg = 1 g.  Convert 2.5 grams into milligrams.

• 25 mg
• 25,000 mg
• 250 mg
• 2500 mg