1. **State the problem:** We have a table showing the number of flyers Trey has printed at different times. We want to find how many flyers he had at the start (time 0) and understand the relationship between time and flyers.
2. **Identify the type of relationship:** The table shows a linear relationship because the number of flyers increases by the same amount every 5 minutes.
3. **Calculate the rate of change (slope):** Use the formula for slope $$m=\frac{\text{change in flyers}}{\text{change in time}}$$.
From 10 to 15 minutes, flyers go from 87 to 112:
$$m=\frac{112-87}{15-10}=\frac{25}{5}=5$$ flyers per minute.
4. **Write the linear equation:** The general form is $$y=mx+b$$ where $y$ is flyers, $x$ is time, $m$ is slope, and $b$ is the starting number of flyers.
Using point (10, 87):
$$87=5\times 10 + b$$
$$87=50 + b$$
$$b=87-50=37$$
So, the equation is $$y=5x+37$$.
5. **Answer (a):** The number of flyers Trey had when he started printing (at time 0) is $$b=37$$ flyers.
6. **Answer (b):** As time increases, the number of flyers Trey has increases.
The rate of increase is the slope $$m=5$$ flyers per minute.
**Final answers:**
(a) 37 flyers
(b) Flyers increase at 5 flyers per minute.
Flyers Time 741B72
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