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Unit 2 Lesson 25 Equation from a verbal description

Total questions: 10

Worksheet time: 31mins

Name
Class
Date
1.

At 59°F, crickets chirp at a rate of 76 times per minute, and at 65°F, they chirp 100 times per minute. Write an equation in slope-intercept form that represents the situation.

a)

y = 4x - 160

b)

y=76x+65

c)

y=56x+100

d)

y=59x+65

2.

A dragonfly can beat its wings 30 times per second. Write an equation in slope-intercept form that shows the relationship between flying time, x, in seconds and the number of times the dragonfly beats its wings, y.

a)

x=30y

b)

y = 30x

c)

y=30+x

d)

y=30x+60

3.

A balloon is released from the top of a platform that is 50 meters tall. The balloon rises at the rate of 4 meters per second. Write an equation in slope-intercept form that tells the height of the balloon above the ground after a given number of seconds.

a)

y=50x+4

b)

y=4x

c)

y = 4x + 50

d)

y=50x+4

4.

The cost of renting a sailboat at a lake is $20 per hour plus $12 for lifejackets. Write an equation in slope-intercept form that can be used to calculate the total amount you would pay for using this sailboat.

a)

y=12x

b)

y=12x+20

c)

y=20x

d)

y = 20x + 12

5.

A scuba diver is 10 meters below the surface of the water. She is ascending at a rate of 0.1 meters per second. Which equations fits this situation, let y be the depth of the suba diver and let x be the time in seconds?

a)

y=0.1x-10

b)

y=10x+.01

c)

y=0.1x+10

d)

y=10x-0.1

6.

Rey has opened a savings account with $2,000. She plans on depositing the same amount each month. After the second month her balance is $3,000. Which equation matches this situation, y is the amount in the account and x is the number of months?

a)

y=1000x+2000

b)

y=500x+2000

c)

y=3000+x

d)

y=2000+x

7.

A sales associate is given a $500 hiring bonus with a new job. She earns an average commission of $250 per week.

Which equation represents this situation? Let w be the weeks she has worked and p be the amount of pay she received.

a)

p=250w

b)

w=250p+500

c)

p=250+500w

d)

p=250w+500

8.

A farm has 75 acres of wheat. The farmer can harvest the wheat from 12 acres per day. Which eqution represents the situation where y is the number of acres remaining and x is the number of days?

a)

y=75x-12

b)

y=12x+75

c)

y=75-12x

d)

y=75+12x

9.

A water tank holds 18,000 gallons. The water is used at an average rate of 450 gallons per day. What equation represents this situation where y is gallons remaining in the tank and x is the number of days?

a)

y=450x+18,000

b)

y=18,000-450x

c)

y=450x

d)

y=18,000x-450

10.

Savanna is collecting soil samples from an excavation. She has already collected 25 samples, she must collect 8 more each day. Which equation represents this situation? Let y equal the total number of samples and let x be the number of days.

a)

y=25-8x

b)

y=25x+8

c)

y=8x+25

d)

y=8x