Proportional Relationships and Costs

Mrs. Hazmer provides homework help for Eureka Math Module 1, Lesson 7, focusing on finding constants of proportionality in various scenarios. The lesson covers calculating costs for bananas, dry cleaning, savings contributions, and a school field trip to the zoo. Each problem demonstrates how to set up and solve proportional relationships, emphasizing the concept of unit price and cost per unit.

What is the constant of proportionality for bananas priced at 59 cents per pound?

• 100

• 0.59

• 1

• 59

If bananas cost 59 cents per pound, how much would 25 pounds cost?

• $14.75

• $15.00

• $14.25

• $13.75

What is the cost per pair of pants if the dry cleaning fee for three pairs is $18?

• $5

• $6

• $8

• $7

How much will it cost to dry clean 11 pairs of pants if the cost per pair is $6?

• $60

• $72

• $66

• $78

For every $5 Micah saves, his parents give him $10. What is the constant of proportionality?

• 1

• 2

• 3

• 4

If Micah saves $150, how much will his parents give him?

• $350

• $200

• $250

• $300

What is the cost per student for the zoo trip if 84 students cost $1260?

• $12

• $10

• $15

• $18

Is the cost per student for the zoo trip proportional across different years?

• No, because the total cost changes

• Yes, because the cost per student is consistent

• No, because the cost per student varies

• Yes, because the number of students is the same

How much would the school pay if 120 students entered the zoo at $15 per student?

• $1800

• $1700

• $1500

• $1600

If the school paid $1425 for the zoo trip, how many students attended at $15 per student?

• 90

• 85

• 95

• 100