Question

Dale is printing extra flyers to distribute the fly are printed at a constant rate. The table below shows the number flyers he has after a different amount of time

Answer 1

(a)As time increases, the number of flyer Dale has increases.

The rate is 3 flyers per minute.

(b)62 flyers

Step-by-step explanation:

(a)To determine the rate at which the number of flyers increases or decreases, we pick two pairs of points from the table.

(10, 92) and (15, 107)

`\begin{gathered} \text{Slope}=(107-92)/(15-10) \\ =(15)/(5) \\ =3 \end{gathered}`

The rate at which the flyers are printed is Increasing at a rate of 3 flyers per minute.

(b)To determine how many flyers Dale has at the beginning, we find the equation of the line.

The slope-intercept form of a line is y=mx+b.

Substituting the point (10,92) in the slope-point form, we have:

`\begin{gathered} y-y_1=m(x-x_1) \\ y-92=3(x-10) \\ y=3x-30+92 \\ y=3x+62 \end{gathered}`

The y-intercept of the line, b=62.

Therefore, Dale already had 62 flyers when he started printing.