Unit Rates
Proportional or not?
Write the Equation
Ratios
100
Kera can open 20 lockers in 15 seconds. How many lockers can she open in 1 second?
4/3 a locker or 1 and 1/3 of another one.
100
Does this graph show a proportional relationship? Explain why/why not.
No. The rate of change (or slope) fluctuates, so this is NOT a proportional relationship.
100
In the equation below, what do the variables "m" and "b" stand for?
y=mx+b
m= slope/rate of change/constant of proportionality
b= y-intercept
100
What is the simplified ratio of giraffes: zebras in this photo?
2:1
200
Nell reads 35 pages every 4 minutes. How many pages does she read per minute?
8 and 3/4 pages per minute.
200
Does this graph represent a proportional relationship? Explain why/why not.
No. This graph is NOT proportional because the y-intercept is not 0, but 1. Therefore, before x=1, this relationship is not proportional.
200
Janaesha has $120.00 in her checking account and she makes a $50.00 deposit in it each week.
Write an equation to describe the following AND describe the graph (positive or negative slope?)
y = 50x +120
The graph begins where y = 120, and increases at a constant rate of 50
200
What is the simplified ratio of giraffes: humans in this photo?
1:1
300
A snail travels 105 feet in 6 years. How many feet does it travel in one year?
17.5 feet
300
Does the following equation represent a proportional relationship?
y = 3x
Yes. y=3x is a proportional relationship with a rate of change of 3.
300
Moses is selling boxes candy bars to raise money for his soccer team. He makes $6 for each box of candy bars he sells. Write an equation to represent the situation.
y = 6x where x= the number of candy bars
300
Simplify this ratio
6:3
3: 2
400
Ms. Harmon's family of 4 went to Point Defiance Zoo and it cost them $52.00 for admittance. What is the Constant of Proportionality/ Unit Rate? AND What does it represent?
$13, the price for one ticket
400
Isabel buys a soda cup for $3. After the initial cost, each refill is free.
Does this situation represent a proportional relationship? Explain why/why not.
This is NOT a proportional relationship because the rate of change is not constant. After the initial cost of $3, the price does not increase nor decrease.
400
Mateo has $100.00 in his checking account and he makes a $60.00 deposit in it each week.
Write an equation in slope-intercept form to model this situation.
y = 60x+100
400
You’re making lemonade The ratio of cups of sugar to lemons to eggs in the recipe is 1/3: 2. If you want to double the recipe, what should the new ratio be?
2/3: 4
500
Luis scores 129 points in 6 games. How many points does he score per game?
A scale drawing of a rectangular park is 10 inches wide and 25 inches long. The actual park is 300 yards long. What is the area of the actual park, in square yards?
21.5 points per game
10 x
___ ____ 3000 = 25x
25 300
x= 120.
120* 300 =36,000 yards
500
10 elephants of equal size weigh 15 tons altogether. Is the number of elephants proportional to their weight? Use at least one diagram, table, graph or equation to support your argument.
Yes, the number of elephants is proportional to their weight. Each elephant weighs 2/3 of a ton.
500
Write the equation for the line in the graph below:
hint: There are points at (0, 0) and (2.5, 10)
y=0.25x
500
You’re baking a cake. The ratio of cups of milk to cups of water to eggs in the recipe is 2: ½ :2. If you want to triple the recipe, what should the new ratio be?
6: 3/2: 6