What function can be used to model data pairs that have a common ratio?
2 answers:
Answer:
Option C. exponential
Step-by-step explanation:
"Common Ratio" is the term always used in geometric sequence which is in the exponential form.
We can write the function defined by exponential as
Where r is the common ratio and n is denoting number of terms.
Now if we plug in the values of n as 1, 2, 3, 4
The sequence will be and so on.
Therefore the exponential function can be used to model data pairs that have a common ratio.
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Answer:
The inequality to show how many hours of television Julia can still watch this week can be given as:
⇒
where represents he number of hours of television that Julia can still watch this week
On solving for , we get
Thus, Julia can still watch no more than 3.5 hours of television this week.
Step-by-step explanation:
Given:
Julia is allowed to watch television no more than 5 hours a week.
She has already watched 1.5 hours
To write and solve an inequality to show how many hours of television Julia can still watch this week.
Solution:
Let the number of hours of television that Julia can still watch this week be =
Number of hours already watched = 1.5
Total number of hours of watching television this week would be given as:
⇒
It is given that Julia is allowed to watch no more than 5 hours of television in a week.
Thus, the inequality can be given as:
⇒
Solving for
Subtracting both sides by 1.5
Thus, Julia can still watch no more than 3.5 hours of television this week.