A linear function is used to represent functions that have a constant rate
.
.- Both restaurants charge at different rates
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Linear functions</h3>
A linear function is represented as:

Where
- m represents the rate
- b represents the y-intercept
<h3>The equations </h3>
For restaurant warehouse:
Start by calculating the slope (m) using:

So, we have:



The equation is then calculated as:

So, we have:

Expand


For supply side:
Start by calculating the slope (m) using:

So, we have:



The equation is then calculated as:

So, we have:

Expand


Read more about linear functions at:
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Answer:

Step-by-step explanation:
The given differential equation is

It can be written as


Integrate both sides.

Apply ILATE rule on right side. Here, t is first function and
is the second function.



.... (1)
Initial condition is y(1) = 1. It means at t=1 the value of y is 1.



Add
on both sides.

Substitute the value of C in equation (1).


Therefore, the solution of given initial value problem is
.
Answer:
(0, 32)
Step-by-step explanation:
The function hits the vertical line (y-axis) at it's 32 mark, and 0 is always the first coordinate of a y-intercept, so it's (0, 32).