Lesson 14 Connecting Equations to Graphs Part 1

Lesson 14 Connecting Equations to Graphs Part 1

Multiple Choice

Andre bought a new bag of cat food. The next day, he opened it to feed his cat. The graph shows how many ounces were left in the bag on the days after it was bought.

How many ounces of food were in the bag 12 days after Andre bought it?

• About 36 oz

• About 40 oz

• About 30 oz

• About 12 oz

Multiple Choice

Andre bought a new bag of cat food. The next day, he opened it to feed his cat. The graph shows how many ounces were left in the bag on the days after it was bought.

How many days did it take for the bag to contain 16 ounces of food?

• 12 days

• 24 days

• 30 days

• 34 days

Fill in the Blank

Andre bought a new bag of cat food. The next day, he opened it to feed his cat. The graph shows how many ounces were left in the bag on the days after it was bought.

How much did the bag weigh before it was opened?

Type the number only.

Fill in the Blank

Andre bought a new bag of cat food. The next day, he opened it to feed his cat. The graph shows how many ounces were left in the bag on the days after it was bought.

About how many days did it take for the bag to be empty?

Type the number only. Round to the nearest day.

Open Ended

Diego is buying shrimp and rice to make dinner. Shrimp costs $6.20 per pound and rice costs $1.25 per pound. Diego spent $10.55 buying shrimp and rice. The relationship between pounds of shrimp s, pounds of rice r, and the total cost is represented by the equation 6.20s+1.25r=10.55.

Write an equation that makes it easy to find the number of pounds of rice if we know the number of pounds of shrimp purchased.

Multiple Choice

The graph shows the relationship between the total cost, in dollars, and the number of hats ordered.

What does the slope of the graph tell us in this situation?

• It tells us that there is a fixed cost of approximately $35 for ordering hats.

• It tells us the amount that the total cost increases for each additional hat ordered.

• It tell us that when 9 hats are ordered, the total cost is approximately $160.

• It tells us that when the number of hats ordered increases by 10, the total cost increases by approximately $175.

Fill in the Blank

What is the slope of the graph?

Type the number only.

Multiple Choice

What does the slope tell us about this situation?

• The slope tells us how many feet the hikers' elevation increases for each mile they hike.

• The slope tells us how many feet the hikers' elevation decreases for each mile they hike.

Multiple Choice

Write an equation that represents the relationship between the hikers' distance from the start of the trail, x, and their elevation, y.

• y=250x+500

• y=-250x+500

• y=500x+250

• y=500x-250

Open Ended

Multiple Choice

In physics, the equation PV=nRT is called the ideal gas law. It is used to approximate the behavior of many gases under different conditions.

P, V, and T represent pressure, volume, and temperature, n represents the number of moles of gas, and R is a constant for the ideal gas. Which equation is solved for T?

• $\frac{PV}{R}=nT$

• $\frac{PV}{nR}=T$

• $T=PV-nR$

• $RVnR=T$

Fill in the Blank

To raise funds for uniforms and travel expenses, the soccer team is holding a car wash in a part of town with a lot of car and truck traffic. The team spent $90 on supplies like sponges and soap. They plan to charge $10 per car and $20 per truck. Their goal is to raise $460.

How many cars do they have to wash if they washed the following numbers of trucks?

4 trucks

Type the number only.

Fill in the Blank

To raise funds for uniforms and travel expenses, the soccer team is holding a car wash in a part of town with a lot of car and truck traffic. The team spent $90 on supplies like sponges and soap. They plan to charge $10 per car and $20 per truck. Their goal is to raise $460.

How many cars do they have to wash if they washed the following numbers of trucks?

15 trucks

Type the number only.

Fill in the Blank

To raise funds for uniforms and travel expenses, the soccer team is holding a car wash in a part of town with a lot of car and truck traffic. The team spent $90 on supplies like sponges and soap. They plan to charge $10 per car and $20 per truck. Their goal is to raise $460.

How many cars do they have to wash if they washed the following numbers of trucks?

21 trucks

Type the number only.

Fill in the Blank

To raise funds for uniforms and travel expenses, the soccer team is holding a car wash in a part of town with a lot of car and truck traffic. The team spent $90 on supplies like sponges and soap. They plan to charge $10 per car and $20 per truck. Their goal is to raise $460.

How many cars do they have to wash if they washed the following numbers of trucks?

27 trucks

Type the number only.

Multiple Choice

Consider the equation 3a+0.1n=123. If we solve this equation for n, which equation would result?

• 0.1n=123−3a

• n=123−3a−0.1

• n=1,​230−30a

• 3a−1230.1=n