Lesson: Slope Intercept Form Word Problems

Multiple Choice

Do you have your phone in the box, notebook out, and ready to take notes? ​

(you will need to take a picture and upload it at the end)

• YES I have my notebook out

• No, I know it means a bad grade

Word Problems with Slope-Intercept Form

Objective: Create equations in slope intercept form given a 'real world' situation.

Multiple Select

If a rate of change describes how one quantity changes in relation to another quantity, which of the following situations represent a rate of change

• the distance between San Fransisco and Seattle

• the number of words you can type in a minute

• the number of unread emails in your school account

​A rate of change is a rate that describes how one quantity changes in relation to another quantity.

​So what is the rate of change for each graph?

Multiple Choice

Which of the following rates represents the graph shown?

• 10 miles per week
• 9 miles per week
• 0.1 miles per week
• 5 miles per week

Multiple Choice

At what rate did the rain fall?

• $$2\ cm\ per\ hour$$  

• $$\frac{1}{4}\ cm\ per\ hour$$  

• $$\frac{1}{2}\ cm\ per\ hour$$  

• $$4\ cm\ per\ hour$$  

​Nicole is a 17-year-old babysitter who charges a flat fee of $3, plus $5 per hour for up to 3 kids.

​

What would her 'rate' be?

​

​

If she watched 2 kids for 6 hours, how much money would she make?​

​

​EXAMPLE

​A gym membership has a $15 membership fee and costs $40 per month.

​

​EXAMPLE

A) Write an equation in slope-intercept form that represents the situation.




B) How much would you have to pay for the gym after 4 months?



C) How many months were you at the gym if the total cost was $215?

Multiple Choice

Suppose that a bike rents for $4 plus $1.50 per hour. Write an equation in slope-intercept form that models this situation.

• y = 4x + 1.50
• y = 1.50x + 4

Multiple Choice

A canoe rental service charges a twenty-dollar transportation fee and thirty dollars an hour to rent a canoe. Write an equation representing the cost, y, of renting a canoe for x hours.

• y = 20 + 30x

• y = 30 + 20x

• y = 50x

• y = 60x

Math Response

Casey has run a small business making dessert baskets for 5 years. She estimates that her fixed weekly costs for rent and electricity are $200. The ingredients for one dessert basket cost $2.50.

Write an equation in slope-intercept form for the total cost, y, after making x number of baskets.

Type answer here

Correct Answer: y=2.5x+200

Deg^°

Rad

Math Response

Casey has run a small business making dessert baskets for 5 years. She estimates that her fixed weekly costs for rent and electricity are $200. The ingredients for one dessert basket cost $2.50. Her total costs for the week before were $562.50. How many dessert baskets did she make the week before?

Type answer here

Correct Answer: 145

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