Answer:
y=1/2x+2
Step-by-step explanation:
B. The amount of money, y, In an account after x years earning 4% interest compounded annually.
C. The height, y, of a ball after bouncing x times, if each bounce reaches 2/3 the previous height.
D. The monthly cost, y, to use a cell phone for x minutes at a rate of 4 cents per minute.
The monthly cost, y, to use a cell phone for x minutes at a rate of 4 cents per minute can be modeled by a linearfunction. This is because the cost increases at a constant rate with the number of minutes used. In contrast, options A, B, and C involve non-constant rates of change.
The answer is D. The monthly cost, y, to use a cell phone for x minutes at a rate of 4 cents per minute. This is a linear function because it describes a constant rate of change, as the cost changes linearly with the number of minutes used. Each additional minute costs the same amount: 4 cents. So, if we plot the minute (x) versus cost (y), we would get a straight line. This is different from the other options where the rate of change is not constant. For instance, options A, B, and C describe scenarios with exponential decay or growth.
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Answer:
D
Step-by-step explanation:
D is linear because it increases the same amount each time
Answer:
-3 is the answer for the question
Answer:
$2.06
Step-by-step explanation:
$2.99 x 6 = $17.94
$20.00 - $17.94 = $2.06
Hope this helps
Answer: $0.26
Step-by-step explanation:
Cost of 6 pens
= 2.99 x 6
= 17.94
Add sales tax at 10%,
= 17.94 x 1.1
= 19.74
Change due to me
= 20 - 19.74
= 0.26
ex– 1 = 9
Answer:
x = ln 10
Step-by-step explanation:
You meant e^x - 1 = 9. Let's isolate e^x, by adding 1 to both sides. We get:
e^x = 10
Now make use of the property ln a = b <=> a = e^b
Then e^x = 10 becomes
x = ln 10
Answer:
There are 2,000 grams left after 300 years.
Step-by-step explanation:
Giving the following information:
The half-life of a radioactive substance is 200 years. There are 8000 grams of the substance initially.
First, we need to calculate the reduction of the substance each year:
Yearly reduction= 8,000/400= 20 grams per year
Now, for 300 years:
300 year reduction= 20*300= 6,000
There are 2,000 grams left after 300 years.