Proportional Relationships
Does the equation y=7.6x represent a proportional relationship?
If yes, state the constant of proportionality.
Yes, it is Proportional.
K=7.6
Five out of six students said baseball was their favorite sport. What is the decimal equivalent for the number of students who chose baseball?
You must state your answer with the correct notation.
0.83 (repeating 3)
$264 in simple interest
Write an expression to represent the situation.
The price of nails, n, is $1.29 per pound, the price of washers, w, is $0.79 per pound, and the price of bolts, b, is $2.39 per pound.
2.39b+1.29n+0.79w
Simplify the expression.
-8+32+(9x-2)+-45
-62
Janet hiked 3/8 mile in 1/4 hour. How fast did she hike, in miles per hour?
1 1/2 miles per hour
A remote-control airplane is descending at a rate of 24.91 meters per second. What will be its change in height after 3.5 seconds? Round your answer to the nearest meter.
-87 meters
Emily bought a pair of headphones on sale. If they usually cost $36.80, and Emily purchased them at 40% off, how much did she pay?
Emily paid $22.08
Given the expression 30b-6c, evaluate it when b=-4 and c=-1
-126
Mealworms are a healthy food for wild songbirds. Adam buys a 3.5-oz container for mealworms for $8.75. Marco buys a 3.75-oz container of mealworms for $9.75. Which container is the better deal? By how much?
Adam has the better deal (3.5 oz) by 10 cents.
What are the three key points that make a graph proportional?
1) Linear line. (Straight line)
2) Goes through the origin. (point 0,0)
3) Constant of Proportionality (k value)
Josie deposited $450 in a bank account at the beginning of the month. A payment of $35.20 is automatically deducted each month for her gym membership. If she makes no other deposits or withdrawals, how much money is in Josie's account at the end of four months?
$309.20
Sally hikes 190.5 meters up a mountain. If she is 62% of the way up, how tall is the mountain? Round to the nearest whole meter.
307 meters
Simplify the expression.
-4b+8c+12-8b-2c+6
-12b+6c+18
Expand the expression.
3.5(-3n+4)
-10.5n+14
Henry is making a corn girts-recipe that calls for 1/4 cup of corn grits for every 1/2 cup of water. How much water will he need if he uses 1 1/2 cups of corn grits?
3 cups of water
At sunrise the outdoor temperature was 3 degrees. At dusk, the outdoor temperature had dropped to 23 degrees below zero. What is the difference between the two temperatures?
26 degrees
11% error
Simplify the expression.
5b+3c-20+3(b-5)+4
8b-12c-16
or
8b+-12c+-16
A bike store sells scooters at a 56% markup. If the store sells each scooter for $70.20 then what is their non-markup price? (How much did the store buy the scooter for?)
$45.00
Sarah used 2.5 cups of cheese in a dish that serves 10 people. Aaron used 1.6 cups of cheese in a dish that serves 8 people. How much more cheese is in one serving of Sarah's dish?
0.05 cup
What are the two types of decimals can be classified as a rational number?
Repeating Decimal
Terminating Decimal
On the first visit to the veterinarian's office, Eddie's puppy weighed 19 ounces. On the second visit, the puppy had gained 9 ounces. On the third visit, the puppy had gained another 7 ounces. What is the percent increase since the first visit in the puppy's weight. Round to the nearest percent.
84% increase
Simplify the expression.
-8w+-4z+2w(1+3w)+9z-7+5w2
11w2-6w+5z-7
11w2+-6w+5z+-7
35%