Question

key concepts :
to calculate the unit rate from a
graph :

• calculate the slope by counting

the rise over run.

the unit rate in this graph is $2\frac{2}{3}$
(2, 4) and (8, 20)
$\frac{20-4}{8-2}=\frac{16}{6}=2\frac{2}{3}$

how i feel about this concep
☐ i completely get it ☐ im strug
☐ ive almost got it ☐ im lost

i still dont understan

practice : calculate each unit rate.
1)
2)
3)
4)

Explanation:

Step1: Identify points for Graph 1

Points: (2, 6) and (8, 10)

Step2: Calculate slope for Graph 1

$\text{Unit rate} = \frac{10-6}{8-2} = \frac{4}{6} = \frac{2}{3}$

Step3: Identify points for Graph 2

Points: (1, 64) and (5, 66)

Step4: Calculate slope for Graph 2

$\text{Unit rate} = \frac{66-64}{5-1} = \frac{2}{4} = \frac{1}{2}$

Step5: Identify points for Graph 3

Points: (1, 25) and (5, 41)

Step6: Calculate slope for Graph 3

$\text{Unit rate} = \frac{41-25}{5-1} = \frac{16}{4} = 4$

Step7: Identify points for Graph 4

Points: (2, 6) and (10, 18)

Step8: Calculate slope for Graph 4

$\text{Unit rate} = \frac{18-6}{10-2} = \frac{12}{8} = \frac{3}{2}$

Answer:

1. $\frac{2}{3}$ hours per hundred miles
2. $\frac{1}{2}$ °F per hour
3. 4 inches per year
4. $\frac{3}{2}$ dollars per gallon