Mathematics Flashcard

Front

What does the equation y = 3.36x represent in the context of gasoline pricing?

Back

The equation represents the total price (y) for x gallons of gasoline, where the price per gallon is $3.36.

Front

If the price of gasoline decreases by $0.03 per gallon, what would the new slope of the equation be?

Back

The new slope would be 3.33, indicating the new price per gallon.

Front

What does the slope of the equation y = 3.36x represent?

Back

The slope represents the price of gasoline per gallon, which is $3.36.

Front

Calculate the total price for 5 gallons of gasoline using the equation y = 3.36x.

Back

y = 3.36 * 5 = $16.80.

Front

Does the point (2, 6.72) lie on the graph of the equation y = 3.36x?

Back

Yes, because y = 3.36 * 2 = 6.72.

Front

Does the point (3, 10.08) lie on the graph of the equation y = 3.36x?

Back

Yes, because y = 3.36 * 3 = 10.08.

Front

What is the meaning of the coordinates (10, 36.3) in the context of the gasoline pricing equation?

Back

It represents that 10 gallons of gasoline cost $36.30.

Front

If the price of gasoline is $3.36 per gallon, what is the total cost for 15 gallons?

Back

Total cost = 3.36 * 15 = $50.40.

Front

What is the y-intercept of the equation y = 3.36x?

Back

The y-intercept is 0, meaning that if no gallons are purchased, the total cost is $0.

Front

How would you describe the graph of the equation y = 3.36x?

Back

The graph is a straight line that passes through the origin with a slope of 3.36.