Algebra 1 | Unit 2 | Lesson 10: Connecting Equations to Graphs (Part 1) | Practice Problems

Front

What does the slope of a graph represent in a cost vs. quantity scenario?

Back

The slope represents the amount that the total cost increases for each additional item ordered.

Front

What is the fixed cost in a cost vs. quantity graph?

Back

The fixed cost is the starting cost before any items are added, often represented by the y-intercept of the graph.

Front

How can you determine the total cost from a graph?

Back

You can determine the total cost by finding the point on the graph that corresponds to the number of items ordered.

Front

What does it mean if a graph is linear?

Back

A linear graph indicates a constant rate of change, meaning the relationship between the two variables is proportional.

Front

How do you find the y-intercept of a graph?

Back

The y-intercept is found where the graph crosses the y-axis, representing the value of y when x is zero.

Front

If a bag of food weighs 56 oz, what does this tell us about the initial amount?

Back

It indicates that the bag contained 56 ounces of food before any was consumed.

Front

How can you estimate how many days it took for a bag to be empty from a graph?

Back

You can estimate the time by finding where the graph intersects the x-axis, indicating zero food left.

Front

What does a decrease in the graph over time indicate?

Back

A decrease indicates that the quantity of the item (e.g., food) is being consumed or used up.

Front

If it took 24 days for a bag to contain 16 ounces of food, what does this imply about the consumption rate?

Back

It implies that the food was consumed at a steady rate over those 24 days.

Front

How can you find the amount left in a bag after a certain number of days from a graph?

Back

You can find the amount left by locating the corresponding point on the graph for that number of days.