Unit Rates
A table shows x = 4 cups of flour and y = 6 cups of milk. Find the unit rate.
1.5 cups
The unit rate is 1.5.
If x represents cups of flour and y represents cups of milk, what does the unit rate mean?
For every 1.5 cups of milk, there is 1 cup of flour.
The variables are x = cups of flour (f) and y = cups of milk(m). The unit rate is 3. Write the ratio equation and total equation.
m=3f
t= f + m
x = 4 and k = 1.5. Find y.
y=6
y = 6 and k = 2. Find x.
x=3
A table shows x = 4 pounds of apples and y = 15 pounds of oranges. Find the unit rate.
3.75 pounds
(y = 2x)
x= number of dogs
y= number of cats
What does the 2 mean?
For every 2 cats there is 1 dog.
Change the variables: x = pounds of apples (a), y = pounds of oranges (o), and t = total pounds. k = 1.5. Write both equations.
o=1.5a
t= a + o
The equation is y = 16x. Find y when x = 16.
y=256
y = 18 and k = 1.5. Find x.
x=12
A recipe has x = 2 cups of flour and y = 3 cups of milk. Find the unit rate and write the equation y = kx.
1.5 cups
y=1.5x
In a recipe:
What does (k=5) mean?
For every 5 cups of milk there is 1 cup of flour.
x = hours (h), y = miles (m), and k = 4.5. Write the equation that relates x and y. Then write the total equation.
m=4.5h
t= h + m
x = 18 and k = 3. Find y AND the total t.
y=54
t=72
The total is 20 and k = 5.8. Find x and y.
Round to the nearest tenth.
x= 3
y= 20.4
A table has x = 5 and y = 24. Find k and explain how you found it.
4.8
Divided y by x.
A table represents the relationship between hours worked and money earned.
What does the unit rate mean?
For every $15 made they worked 1 hour.
The variables are x = red tickets(r), y = blue tickets(b), and t = total tickets. The unit rate is 1.25. Write both equations.
b=1.25r
t=b + r
The total is 10 and k = 1.5. Find x and y.
x=4
y=6
y = 30 and k = 15. Find x, then find the total.
x=2
Total=32
A table has x = 2 and y = 22. Find k, then use it to find y when x = 14.
11
When x = 11, y=154
A student says:
“The unit rate is 2, so there are 2 cups of flour for every 1 cup of milk.”
The variables are:
Is the student correct? Explain.
No, because that is the unit rate of milk to flour.
A problem uses x = cups of flour (f), y = cups of milk(m), and t = total cups. The unit rate is 6. Write BOTH equations and explain what each equation helps you find.
m=6f: helps find Milk and Flour
t= m + f: helps find total of milk and flour
The total is 40 and k = 1.5. Find x and y.
x=16
y=24
The total is 50. The relationship is y = 10x. Find BOTH x and y. Round to nearest tenth.
x=4.5
y=45