C10L4 Warm Up on Linear Word Problems

Front

What is the equation for the cost, C, after h hours of babysitting if Nicole charges a flat fee of $3 plus $5 per hour?

Back

C = 3 + 5h

Front

How much will Nicole make if she babysits for 5 hours?

Back

$28

Front

What is the equation to 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 for a plumber who charges $25 for a service call plus $50 per hour after 8 hours of work?

Back

$425

Front

What is the equation in slope-intercept form for renting a bike that costs $4 plus $1.50 per hour?

Back

y = 1.50x + 4

Front

What is the equation in slope-intercept form for joining an online learning community with a $20 startup fee and a $5 monthly fee?

Back

y = 5x + 20

Front

Define slope-intercept form of a linear equation.

Back

The slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.

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 does the y-intercept represent in a linear equation?

Back

The y-intercept represents the value of y when x is 0.

Front

How do you calculate the total cost from a linear equation?

Back

Substitute the value of h (hours) into the equation to find C (total cost).