C10L4 Warm Up on Linear Word Problems

Front

What is the slope-intercept form of a linear equation?

Back

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

Front

How do you determine the total cost in a linear word problem involving a fixed fee and a variable fee?

Back

The total cost can be calculated by adding the fixed fee to the product of the variable fee per unit and the number of units.

Front

Write the equation for the total cost, C, for a yoga club with a $100 annual fee and $5 per class.

Back

C = 100 + 5x, where x is the number of classes attended.

Front

If the total cost for a yoga club is $200, how many classes must be attended?

Back

20 classes.

Front

What is the equation for the cost, C, after h hours of babysitting if the flat fee is $3 and the hourly rate is $5?

Back

C = 3 + 5h.

Front

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

Back

$28.

Front

Write the equation for the water level, L, of a river receding at a rate of 0.5 foot per day starting from 34 feet.

Back

L = 34 - 0.5d, where d is the number of days.

Front

How many days will it take for the water level to reach 26 feet if it is receding at 0.5 foot per day?

Back

16 days.

Front

Write the equation for a bike rental that costs $4 plus $1.50 per hour.

Back

C = 4 + 1.5h, where h is the number of hours rented.

Front

If the total cost of bike rental is $10, how many hours can the bike be rented?

Back

4 hours.