Question

The graph shows the relationship between time
and the number of soda bottles a machine can
make. Use the points (2,48) and (7,168) to find
the number of soda bottles the machine can make
each minute.

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.