Question

The following graph depicts the total cost of purchasing blueberries at blue basket farms at a certain price per pound.

Answer 1

The function of the graph is y=4x because the y-intercept is 0 and the slope is 4.

Answer 2

Answer:

$f(x)=y=4x$

Step-by-step explanation:

Refer the attached graph

Cost of 0.5 pounds of blueberries = $2

⇒(0.5,2)

Cost of 1 pounds of blue berries = $4

⇒(1,4)

Cost of 2 pounds of blue berries = $8

⇒(2,8)

Since the graph is linear .

So. will use two point slope form:

$y-y_1= \frac{y_2-y_1}{x_2-x_1}(x-x_1)$   --a

$(x_1,y_1)=(0.5,2)$

$(x_2,y_2)=(1,4)$

Substituting the values in the equation a

$y-2= \frac{4-2}{1-0.5}(x-0.5)$

$y-2= 4(x-0.5)$

$y-2= 4x-2$

$y= 4x$

Hence the function of the graph is $f(x)=y=4x$