C10L4 Warm Up on Linear Word Problems

Front

What is slope-intercept form?

Back

Slope-intercept form is a way of writing the equation of a line in the form y = mx + b, where m is the slope and b is the y-intercept.

Front

How do you identify the slope in a linear equation?

Back

The slope (m) in a linear equation y = mx + b represents the rate of change of y with respect to x.

Front

What does the y-intercept represent in a linear equation?

Back

The y-intercept (b) is the value of y when x is 0, indicating where the line crosses the y-axis.

Front

Write the equation for a situation with a $20 startup fee and a $5 monthly fee in slope-intercept form.

Back

y = 5x + 20

Front

If a river's water level is receding at 0.5 feet per day, how would you express this in an equation?

Back

L = 34 - 0.5(d)

Front

What is the equation for a bike rental that costs $4 plus $1.50 per hour?

Back

y = 1.50x + 4

Front

How do you model the descent of an airplane starting at 30,000 feet and descending at 2,000 feet per minute?

Back

y = 30,000 - 2,000x

Front

What is the total cost equation for renting a canoe with a $20 transportation fee and $30 per hour?

Back

y = 20 + 30x

Front

What does it mean for a quantity to be 'receding'?

Back

Receding means that the quantity is decreasing over time.

Front

What does it mean for a quantity to be 'ascending'?

Back

Ascending means that the quantity is increasing over time.