The rate of change in a linear equation of the form:
is m. This means that for carpet company A the rate of change is 1.35 and for company B the rate of change is 2.05.
Therefore, company B has the greatest rate of change.
The rate of change is the same as the slope in a line. This means that the greater the rate of change is the faster the line will grow. This can be seen in the following graph:
where the red line is the graph for company A and the blue line is the graph for company B.
A ruler because it gies you the exact measurement in inches, or centimeters and you can always multiply to find out how many feet something is.
A=future amount
P=present amount
r=rate in decimal
t=time in years
when A=2P, then that is double
A=Pe^(rt)
2P=Pe^(rt)
divide by P
2=e^(rt)
r=3.1% or 0.031 solve for t
2=e^(0.031t)
take the ln of both sides
ln(2)=0.031t
divide both sides by 0.031
(ln(2))/0.031=t
use calculator
22.359=t
round to tenth
22.4 years to double
Answer:
<em>120 minutes or 2 hours</em>
Step-by-step explanation:
<u>Proportions</u>
The method to solve the problem is to compute how many cans produce each machine per minute, then add them to obtain the total cans produced by both. Finally, we compute the time to produce 4200 cans at that level of production.
The newer machine produces 4200 cans in 210 minutes, it means it produces
=20 cans per minute
The older machine needs 280 minutes to produce the same 4200 cans, to it produces
= 15 cans per minute
Together, they produce 20+15=35 cans per minute. Thus, to produce 4200 cans, they need
= 120 minutes or 2 hours
2 1/4 + 1 1/6 = 3 1/12
5 - 3 1/ 12 = 1 11/12 is how much it grew in the second year.