Question

10
9
Ryan and Daniel are both packing boxes at a factory. Ryan can pack three boxes every hour. The number of boxes Daniel can pack in
x hours is represented by the equation below.
y = 45
Which of the following correctly describes the two functions?
OA. The number of boxes that can be packed by Ryan and Daniel each increases over time. Daniel's function has a greater rate of
change than Ryan's function indicating that Daniel can pack more boxes per hour.
0
ОВ.
The number of boxes that can be packed by Ryan and Daniel each decreases over time. Daniel's function has a greater rate of
change than Ryan's function, indicating that Daniel can pack fewer boxes per hour.
OC.
The number of boxes that can be packed by Ryan and Daniel each increases over time. Ryan's function has a greater rate of
change than Daniel's function, indicating that Ryan can pack more boxes per hour.
The number of boxes that can be packed by Ryan and Daniel each decreases over time. Ryan's function has a greater rate of
change than Daniel's function, indicating that Ryan can pack fewer boxes per hour.
OD.
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8 of 10 Answered
Session Timer: 21:09
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Answer 1

Answer:

A. The number of boxes that can be packed by Ryan and Daniel each increases over time. Daniel's function has a greater rate of

change than Ryan's function indicating that Daniel can pack more boxes per hour.

Step-by-step explanation:

Given

Ryan: 3 boxes per hour

Daniel: $y = 4h$

Required

True statement about their functions

First, we calculate Ryan's function.

In 1 hour, he can pack 3 boxes.

In hours, he can pack 3h boxes.

So, the equation is:

$y = 3h$

So, we have:

$y = 3h$ ---- Ryan

$y = 4h$ --- Daniel

Both functions represent direct proportional functions.

So, when h increases y also increases.

However, Daniel's function has a greater rate of change because$y = 4h$ implies that he can pack 4 boxes per hour while Ryan can pack 3.