Bell Ringer:
1. Kim has $250 to spend on a rental car for her trip. The rental car company charges a fee of $130 plus $0.10 per mile. Kim used the inequality to calculate the maximum number of miles, m, she could drive the rental car.
Which inequality expresses the maximum number of miles Kim can drive the car?
2. Jacob went on a fishing trip. This year he caught 30 fish, which is six more than twice the number he caught last year. How many fish did Jacob catch last year?
3. What are all possible values of x when
Classwork:
- Go over ratio, rate, unit rate quiz from Friday
- Workbook p.44-45
- Two quantities are proportional if they have a constant ratio. For relationships in which this ratio is not constant, the two quantities are nonproportional.
Examples:
PIZZA Ms. Cochran is planning a year-end pizza party for her students. Ace Pizza offers free delivery and charges $8 for each medium pizza. 1. Copy and complete
The cost of an order is proportional to the number of pizzas ordered.
PIZZA Uptown Pizzeria sells medium pizzas for $7 each but charges a $3 delivery fee per order. Is the cost of an order proportional to the number of pizzas ordered? Explain.
Since the ratios of the two quantities are not the same, the cost of an order is not proportional to the number of pizzas ordered.
Your Turn!
Determine if each is proportional or nonproportional.
1. ELEPHANTS An adult elephant drinks about 225 liters of water each day. Is the number of days that an elephant’s water supply lasts proportional to the number of liters of water the elephant drinks?
2. PACKAGES A package shipping company charges $5.25 to deliver a package. In addition, they charge $0.45 for each pound over one pound. Is the cost to ship a package proportional to the weight of the package?
3. SCHOOL At a certain middle school, every homeroom teacher is assigned 28 students. There are 3 teachers who do not have a homeroom. Is the number of students at this school proportional to the number of teachers?
4. JOBS Andrew earns $18 per hour for mowing lawns. Is the amount of money he earns proportional to the number of hours he spends mowing?
5. RECREATION The Vista Marina rents boats for $25 per hour. In addition to the rental fee, there is a $12 charge for fuel. Is the number of hours you can rent the boat proportional to the total cost? Explain.
6. ELEVATORS An elevator ascends, or goes up, at a rate of 750 feet per minute. Is the height to which the elevator ascends proportional to the number of minutes it takes to get there? Justify your response.
7. PLANTS A vine grows 7.5 feet every 5 days. Is the length of the vine on the last day proportional to the number of days of growth? Explain.
8. TEMPERATURE To convert a temperature in degrees Celsius to degrees Fahrenheit, multiply the Celsius temperature by 9/5 and then add 32°. Is a temperature in degrees Celsius proportional to its equivalent temperature in degrees Fahrenheit? Explain your reasoning.
A proportion is an equation stating that two ratios or rates are equivalent.
Example: 4/8 = 12/24 a/b =c/d if b and d doesn't each zero
Example: PAINT Sheila mixed 3 ounces of blue paint with 2 ounces of yellow paint. She decided to create 20 ounces of the same mixture. Write and solve a proportion to determine the number of ounces of yellow paint Sheila needed for the new mixture
Homework: Remember to do 40 minutes of MobyMax each week
|
Comments (0)
You don't have permission to comment on this page.