Question

lamar is printing extra flyers to distribute. the flyers are printed at a constant rate. the table below shows the number flyers he has after different amounts of time.
time (minutes) | flyers
10 | 92
15 | 107
20 | 122
25 | 137
answer the following questions.
(a) how many flyers did lamar already have when he started printing?
(square) flyers
(b) choose the statement that best describes how the time and the number of flyers lamar has are related. then give the value requested.
(\bigcirc) as time increases, the number of flyers lamar has decreases.
at what rate is the number of flyers lamar has decreasing?
(square) flyers per minute
(\bigcirc) as time increases, the number of flyers lamar has increases.
at what rate is the number of flyers lamar has increasing?
(square) flyers per minute

Explanation:

Step1: Find printing rate (slope)

Calculate change in flyers over time: $\frac{107-92}{15-10} = \frac{15}{5} = 3$ flyers per minute

Step2: Find initial flyers (y-intercept)

Use linear equation $y = mx + b$, substitute $x=10, y=92, m=3$:
$92 = 3(10) + b$
$92 = 30 + b$
$b = 92 - 30 = 62$

Step3: Analyze time-flyer relationship

As time increases, the number of flyers increases, and we already found the rate is 3 flyers per minute.

Answer:

(a) 62 flyers
(b)

• Selected statement: As time increases, the number of flyers Lamar has increases.
• Rate: 3 flyers per minute