Variation

On a treasure map, the actual distance is directly related to the scaled distance.  If 15 miles is represented by 3 centimeters, then how many centimeters on the treasure map are equivalent to 135 miles?

• 27 cm
• 675 cm
• 529 cm
• 32 cm

Tags

CCSS.7.RP.A.2C

On a treasure map, the actual distance is directly related to the scaled distance.  If 15 miles is represented by 3 centimeters, then how many centimeters on the treasure map are equivalent to 135 miles?

• 27 cm
• 675 cm
• 529 cm
• 32 cm

Tags

CCSS.7.RP.A.2C

If y varies inversely as x and x=5 when y=20, then what is the constant of variation, k? 

• 121
• 4
• 100
• 6

Tags

TEKS.MATH.2A.6L

TEKS.MATH.A.2D

a varies inversely as the square of b. If a is 1 when b is 3, find a when b is 5. 

• 0.36
• 9
• 25
• 36

The cost per person to rent a mountain cabin is inversely proportional (varies inversely) to the number of people who share the rent. If the cost is $36 per person when 5 people share, what is the cost per person when 8 people share?

• $22.50
• $57.60
• $1.11
• $12.50

What type of variation does this scenario represent?
The grade you earn in a class
and the number of assignments you complete
and the number of hours you study

• direct variation
• inverse variation
• joint variation
• none of these

What type of variation does this scenario represent?
The grade you earn in a class
and the number of assignments you complete
and the number of hours you study

• direct variation
• inverse variation
• joint variation
• none of these

Suppose y varies jointly as x & z. 
If y = -180 when z = 15
and x = -3,
then find y when x = 7 and z = -5.

• -140
• 140
• -4
• 4

What type of variation does this scenario represent?
The outside temperature
and the number of layers of clothes you need to wear outside to feel comfortable 

• direct variation
• inverse variation
• joint variation
• none of these

Suppose y varies jointly as x & z. 
If y = -180 when z = 15
and x = -3,
then find y when x = 7 and z = -5.

• -140
• 140
• -4
• 4