Applications of Linear Equations

Choose the equation that models the following situation:

Mike joins a gym for $25 up front and a $30 monthly fee.

• $y\ =\ -25x+30$

• $y=25x+30$

• $y=30x+25$

• $y=30x-25$

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.2

CCSS.HSA.SSE.A.1

Choose the equation that models the following situation:

The water level in a bath tub was 14 inches and Angelo pulls the plug and it decreases at a constant rate of 2.5 inches every minute.

•  $y\ =\ 14$ 

•  $y=2.5x\ +14$ 

•  $y=-2.5x-14$ 

•  $y=-2.5x+14$ 

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.2

CCSS.HSA.SSE.A.1

CCSS.HSF.LE.A.2

CCSS.HSS.ID.C.7

Choose the equation that models the following situation:

Starting at her house, the distance Natalie is from her house if she walks to school at a constant rate of 8 feet per second.

•  $y\ =\ 8$ 

•  $y=8x$ 

•  $y\ =x+8$ 

•  $y=-8x$ 

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.SSE.A.1

CCSS.HSF.BF.A.1

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.2

This graph shows the distance Jaiden is from home over time. What is his rate of change? Write your answer as an integer or a decimal.

_________ per hour

• 80

• 240

• 40

• 60

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.B.6

CCSS.HSS.ID.C.7

What is the rate of change? Write your answer as a decimal or an integer.

• 1 gal per minute

• $\frac{3}{4}$ gal per minute

• 1.3 gal per minute

• 0.75 gal per minute

Tags

CCSS.HSF.IF.B.4

CCSS.HSS.ID.C.7

Which word(s) or phrases do not describe the "b" value" in a linear function written in slope intercept form?

Choose all that apply.

• initial fee

• rate

• startup cost

• per minute

• down payment

Tags

CCSS.HSF.LE.B.5

CCSS.HSS.ID.C.7

You are traveling to your friends house in another city that is 6 miles away. You call an UBER that charges $5 and $1.50 per mile that you travel. What is the cost of the trip?

• $5.00

• $15.00

• $20.00

• $14.00

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

CCSS.HSA.SSE.A.1

Only type the number as an integer or decimal. Do not type anything else.

Tags

CCSS.HSF.IF.B.6

CCSS.HSS.ID.C.7

There is a line whose y-intercept is 9 and slope is 2. What is the equation of the line in slope-intercept form?

• $y\ =\ mx+b$

• $y\ =2x+9$

• $9\ =\ 2x\ +b$

• $y=9x+2$

Tags

CCSS.HSA.CED.A.2

CCSS.HSF.BF.A.1

CCSS.HSF.LE.A.2

What is the equation of the graph shown here?

• $y=\frac{5}{2}x-1$

• $y=\frac{2}{5}x-1$

• $y=-\frac{2}{5}x-1$

• $y=-\frac{2}{5}x+1$

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10