Linear Word Problems

Front

What is the equation representing the cost, y, of renting a canoe for x hours if there is a $20 transportation fee and $30 per hour?

Back

y = 30x + 20

Front

How do you write an equation in slope-intercept form for a situation with a $20 startup fee and a $5 monthly fee?

Back

y = 5x + 20

Front

Identify the slope and y-intercept from the equation: y = 3/2x + 3.

Back

slope: 3/2, y-intercept: 3

Front

What equation can be used to find how much money Sandra has on her iTunes gift card after x months if she starts with $20 and spends $3 each month?

Back

y = -3x + 20

Front

If admission to a fair is $5 and each ride costs $0.50, how many rides can you go on with $20?

Back

30 rides

Front

What does the slope represent in a linear equation?

Back

The slope represents the rate of change of the dependent variable with respect to the independent variable.

Front

What is the y-intercept in a linear equation?

Back

The y-intercept is the value of y when x is 0, representing the starting point of the line on the y-axis.

Front

How do you convert a word problem into a linear equation?

Back

Identify the variables, determine the relationship between them, and express it in the form y = mx + b.

Front

What is the significance of the $20 startup fee in the online learning community problem?

Back

It represents a fixed cost that does not change regardless of the number of months.

Front

In the equation y = mx + b, what do m and b represent?

Back

m represents the slope, and b represents the y-intercept.