Question

Johnny and Cage are working together to mold figurines for a craft fair. They already have 8 figurines which were left from the last craft fair. Johnny and Cage can mold 3 figurines every hour. Explain the reasons why this situation is linear.

Answer 1

Answer:

See Explanation

Step-by-step explanation:

Given

$Initial = 8$

$Increment = 3$ (every hour)

Required

Explain why it is linear

First, we need to determine the equation that represents the scenario

Let x be the number of hours worked and y be the number of figurines at x hours.

The equation is determined as follows:

$y = Initial\ Figurines + Increment * x$

This gives:

$y = 8 + 3 * x$

$y = 8 + 3x$

Reorder

$y = 3x + 8$

A linear equation is of the form

$y = mx + b$

By comparison,

$y = mx + b$ is equivalent to $y = 3x + 8$

Hence, we can conclude that the situation is linear

Answer 2

Answer:

The situation can be described using the equation y = 3x + 8

The rate of change is not constant.

Step-by-step explanation: