Answer:
slope = 2 because it goes up by 2 and across 1
10 = 2(1)+b
10=2+b
-2 -2
b = 8
y intercept = 8
equation: y = 2x+8
yes it is proportional because it has a constant rate of change or slope
Answer:
500 boxes an hour?
Step-by-step explanation:
Answer:
<em>t = 1.51</em>
Step-by-step explanation:
<u>Exponential Model</u>
The exponential model is often used to simulate the behavior of a magnitude that either grow or decay in proportion to the existing amount of that magnitude.
The model can be expressed as
In this case, Mo is the initial mass of the radioactive substance and k is a constant which value is positive if the mass is growing or negative if the mass is decaying.
The value of k is not precisely given in the question, we are assuming
The model is now
We are required to compute the time it takes the mass to reach one-half of its initial value:
Simplifying
Taking logarithms
Solving for t
Rearrange the given equation in slope intercept form
slope of the required line is
equation is given by