Proportions
State whether the following ratios are proportional
15/17 , 136/120
No, they are not proportional
A car travels 120 miles in 3 hours. What is the unit rate in miles per hour?
40 miles per hour
A shirt originally costs $20. The new price is $25. What is the percent change?
25% increase
A book costs $20. There is a 5% sales tax. What is the total price?
$21
What is the definition of ratio?
a comparison of two numbers
Solve for x
3/x=6/12
x=6
A store sells 15 apples for $6. How much does 1 apple cost?
$0.40 per apple
A video game price changes from $60 to $48. What is the percent change?
20% decrease
You eat at a restaurant and your meal costs $45. You want to leave a 15% tip. How much tip should you leave?
$6.75
what is the definition of rate?
a comparison of two quantities
solve for x
(2x+3)/5=11/5
x=4
A printer prints 450 pages in 5 hours. How many pages does it print per hour?
90 pages per hour
A town’s population changes from 1,200 to 1,500 people. What is the percent change?
25% increase
A store buys a gadget for $80 and marks it up 35% to sell it. What is the selling price?
$108
A population grows from 2,000 to 2,300 people. What is the percent change?
15% increase
solve for x
(3x+2)/4=(2x+5)/4
x=3
A taxi charges a flat fee of $4 plus $2 per mile. If your total fare is $18, how many miles did you travel?
7 miles
A painting was originally priced at $385 and is now $462. What is the percent change?
20% increase
A shirt costs $50 and is on sale for 20% off. After the discount, there is a 7% sales tax. What is the final price?
$42.80
A laptop costs $950. It is on sale for 12% off. After the discount, there is a 7% sales tax. What is the final price?
$894.52
solve for x
(3x+4)/5=(2x+10)/4
x=17
A car uses 12.6 gallons of gas to travel 378 miles. What is the unit rate in miles per gallon?
30 miles per gallon
A stock price drops from $1,250 to $1,000. What is the percent change?
20% decrease
A meal costs $60. The restaurant adds a 18% tip and 7% sales tax. What is the total amount paid?
$75.76
A store buys a table for $1,200 and marks it up 25%. A customer buys it and leaves an 18% tip for delivery. What is the total amount the customer pays?
$1,770