Constructing & Using Linear Equations

Mrs. Hallam loves to hike. Last spring break, she climbed a mountain. She was climbing down from 100 feet high descending 30 feet per minute. Write the equation to represent Mrs. Hallam's descent down the mountain.

• y = 100 - 30x

• y = 100 + 30x

• y = 100x + 30

• y = 100x - 30

The Roaming Cell Phone Company charges $15.00 per month plus $0.20 per minute of airtime usage. If Juanita uses x minutes of airtime, what is an equation that can be used to determine her monthly cell phone bill (C)?

• C = 0.20x + 15

• C =15 (0.20x)

• C = 15 + x + 0.20

• C = 0.20 + 15x

Ms. Schneider went to the sale at Kohl's last weekend.

T-shirts were on sale for $15 each and hoodies were on sale for $20 each. If she spent $150 total, write an equation to represent this situation.

• 20x + 15 = y

• 35x = y

• 15x + 20y = 150

• 150 - 20x = 15y

In order to join a Hardin's dance team, there is a $30 startup fee and a $4 monthly fee. Write an equation in slope-intercept form that models this situation. After how many months will the total cost be $58?

• 7 months

• 6 months

• 5 months

• 4 months

Which situation below is representative of y-intercept?

• putting $300 a month into savings
• buying $30 worth of supplies for a lemonade stand
• Spending $3 per ride at the fair
• Paying $2 for parking every day

Jack has $150 in his savings account and saves $40 per month. Which equation represents the amount Bob has in his account after x months?

• y = 150 + 40

• y = 40x + 150

• y = 150x + 40

Wagaman's Car Rental charges $8.50 an hour plus a rental fee of $25.50. Which equation represents the total amount of money Ms. Oberg owes if she drove for 14 hours?

• $34

• $119

• $144.50

Wagaman's Car Rental charges $8.50 an hour plus a rental fee of $25.50. Since Ms. Wagaman and Ms. Oberg are friends, Ms. Wagaman offered to only charge Ms. Oberg the hourly rate. How much does Ms. Oberg owe to drive the car for 17 hours?

• $144.50

• $170

• $25.50