Similarity Applications and Proportionality

The ratio of pennies to quarters in a piggy bank is 14:3. If there are 51 quarters in the bank, how many pennies are there?

• 714 pennies

• 238 pennies

• 714 quarters

• 238 quarters

Raynor earns $4 in rewards for every $75 he spends at the grocery store. If he earned $44 in rewards last month, how much did he spend at the store?

• $33.00

• $8.25

• $3300

• $825

Kasha drove 135 miles and used 5.4 gallons of gas. If the fuel efficiency of her car remains consistent and gas costs $2.59 per gallon, how much money can she expect to fill up her tank for an upcoming 300-mile road trip?

• $31.08

• $16.20

• $12

• $31

The scale on a map reads 1⁄2 inch = 75 miles. If the distance between two cities on the map is 3 1⁄4 inches, find the actual distance between the cities.

• 487.5 inches

• 243.75 miles

• 487.5 miles

• 243.75 inches

Determine if the figures are similar. If yes, give the scale factor of Figure A to Figure B.

• Not Similar

• Yes; 2/3

• Yes; 3/2

Determine if the figures are similar. If yes, give the scale factor of Figure A to Figure B.

• Not Similar

• Yes; 2/3

• Yes; 3/2

The figures are similar. Find x.

• 24

• 15

• 107

• 9

The figures are similar. Find x.

• 22

• 22.3

• 23

• 23.2

A 24-foot tree casts a shadow that is 9 feet long. At the same time, a nearby building casts a shadow 45 feet long. How tall is the building?

• 120 ft

• 210 ft

• 17 ft

• 4.8 ft

A water tower that is 132 feet tall casts a 48-foot long shadow. If Shannon is 5’6” inches tall and standing near the tower, find the length of her shadow.

• 24 ft

• 2 ft

• 3 ft

• 36 ft