Algebra 1-1

Ch 3.5 Writing Equations in Slope Intercept Form Notes

You will learn today:

How to write equations in slope-intercept form.

Write an equation of a line with the given slope and y-intercept.

1. m = 5, b = -2 / 2. m = -1/2, b = 1 / 3. m = -3, b = -7 / 4. m= 4, b = 2/3
5. m = 1, b = -5 / 6. m = -1, b = 3 / 7. m = 1, b = 6 / 8. m = -1, b =-5/4
9. m = -2/3, b = 0 / 10. m =7/5, b = 0 / 11. m = 6, b = 0 / 12. m = -5, b = 0
13. m = 0, b = 4 / 14. m = 0, b = -8 / 15. m = 0, b = -3/8 / 16. m = 0, b = 0

Write the equation of the line.

17.
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Write an equation in slope-intercept form for each situation.
1. You decide to go to the batting cages. You rent a bat for $4 and the cost of each ball is $0.15. Write an equation that represents the total cost in dollars to hit x baseballs. / 2. An electric company charges a fixed fee of $125 for a visit plus $45 for each electrician that is hired. Write an equation that represents the total cost in dollars if a person hires x electricians.
3. At the local movie theater it costs $10.00 to go to the movie plus $5.35 for a candy bar. Write an equation that represents the total cost in dollars if a person were to buy x candy bars. / 4. You decided to go to the Indiana State Fair. It costs $15.00 to enter the fair and the cost of each ride is $2.50. Write an equation that represents the total cost if you were to ride x rides at the fair.
5. Taylor is signing up for her classes at Ball State. The tuition cost is $10,000 plus each course cost $975. Write a function that represents how much money will Taylor spend if she were to take x courses. / 6. You and your friends from Algebra class want to provide snacks during an after school tutoring program at a local elementary school. You know that you will have to spend $6.50 on napkins and cups. You will be able to buy pretzels and juice at a rate of $0.40 per student. Write an equation that represents how much it will cost you and your friends to feed x number of students.
7. During his senior year, Terrance increased his bank account $40 per week. He started his senior year with $350 in his account. Write an equation that models this situation using M for the amount of money in his account and t for the number of weeks.
How much will Terrance have by winter break (20 weeks)?
What is the minimum number of weeks before Terrance has $2000?
8. Tony works at a bike store. Tony earns $125 every week plus $15 for every bike (b) that he sells. Write an equation that can be used to determine the weekly salary (T) given the number of bikes (b) that he sells.
How much will Tony make if he sells 5 bikes per week?
What is the minimum number of bikes Tony must sell in a week to earn a weekly salary of $500?
9. Dale takes over driving 250 miles into a trip. He drives 72 miles per hour. Write an equation that represents the relationship between the distance driven (d) and the time driven (t).
How far will Dale be after he has driven for 8 hours?
How long will it take before Dale is 1330 miles into the trip?
10. Kevin paints houses in the summer (3 months) to make money. It spends $275 in equipment and supplies at the beginning of each summer. He makes $150 per house that he paints. Write an equation that represents the relationship between the money he makes (P) and the number of houses he paints (h).
How much money will he make if he paints 10 houses?
How many houses will he need to paint to make $3000?
11. Jan is a photographer. She earns $42.50 for each picture she sells. It costs Jan $850.00 per month to maintain her photography lab. Write an equation that represents the relationship between Jan’s monthly profit (P) and the number of pictures (x) she sells.
How much will Jan make if she sells 50 pictures per month?
What is the minimum number of pictures that Jan must sell in order to earn $800 per month?
What will happen if Jan sells 20 pictures?
12. Sarah is a wedding cake maker. She earns $115 for each cake that she sells. It costs Sarah $1380 per month to maintain her bakery. Write an equation that represents the relationship between Sarah’s monthly profit (P) and the number of cakes (c) that she sells.
How much money will Sarah make if she sells 32 cakes per month?
What is the minimum number of cakes that Sarah must make in order to earn $3500 per month?
What will happen if Jan sells 12 cakes?
13. A candle is 10 inches tall when it is purchased. It burns 1.5 inches per 2 hours. Write an equation that represents the relationship between the height of the candle (h) and the time (t) it takes to burn.
How tall will the candle be after 3.5 hours?
How many hours will it take before the candle is 1 inch tall?
When will happen if the candle burns for 7 hours?