Question

The graph shows the relationship between time

Answer 1

Answer:

24

Step-by-step explanation:

The number of soda bottles the machine can make  each minute is the unit rate, slope. To find slope using those two points, use the formula:

$\frac{y_2-y_1}{x_2-x_1}$

Identify the points: (2,48)  (7,168)

$y_2=168$

$y_1=48$

$x_2=7$

$x_1=2$

Plug these into the formula then solve:

$\frac{y_2-y_1}{x_2-x_1}$

$\frac{168-48}{7-2}$

$=\frac{120}{5}$

$=24$

The slope is 24, and therefore the unit rate. Hence, the machine can make 24 soda bottles each minute.

Simple way

Where you see the point at 48 and 2, it means $\frac{48}{2}$. So divide

48 ÷ 2 = 24.