A researcher determines that the number of bacteria increase at a rate modeled by =25*2^x. What is the growth rate?
1 answer:
Answer:
100%
Step-by-step explanation:
An exponential equation with a growth rate can be expressed as: where r is a positive number, and represents the growth rate.
In this case since the base of the exponent equals 2, that means r=1, since 1+1=2. This means it has a growth rate of 100%, which makes sense, since the base is 2, meaning it doubles or increases by 100% every time x increases by 1.
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Answer:
They will each have saved $70.
Jessica is saving at a faster rate than Raphael.
The rate at which Jessica is adding to her savings is $4 per week more than the rate at which Raphael is adding to his savings.
Step-by-step explanation:
The formula for Jessica’s savings is
y = 10x + 20
She is saving at the rate of $10/wk .
From Raphael’s table, he started with $40 and is saving at the rate of $6/wk.
The formula for Raphael’s savings is
y = 6x +40
When the two savings are equal
10x + 20 = 6x + 40 Subtract 20 from each side
10x = 6x + 20 Subtract 6x from each side
4x = 20 Divide each side by 4
x = 5
Their savings will be equal after five weeks.
=====
After five weeks , Jessica will have saved
y = 10×5 + 20
y = 50 + 20
y = $70
Raphael has also saved $70.
=====
Jessica is saving at a faster rate than Raphael.
She is saving at the rate of $10/wk, while he is saving at the rate of $6/wk.
The rate at which Jessica is adding to her savings is $4/wk more than the rate at which Raphael is adding to his savings.
The red line in the graph shows that Jessica starts with $20. After five weeks, she has caught up to Raphael, who also has $70 after five weeks.
