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Using linear functions, it is found that:
- Jose's equation is:
.
- Gavin's equation is:
.
- They will be on the same page on the 9th day.
A <em>linear function</em> is modeled by:
In which:
- m is the slope, which is the rate of change.
- b is the y-intercept, which is the value of y when x = 0.
Jose:
- Initially, he was on page 10, hence
.
- He reads 17 pages per day, hence
.
- Hence, Jose's equation is:
Gavin:
- Initially, he was on page 37, hence
.
- He reads 14 pages per day, hence
.
- Hence, Gavin's equation is:
The day they will both be on the same page is x for which:
Hence:
They will be on the same page on the 9th day.
To learn more about linear functions, you can take a look at brainly.com/question/16302622
Based on the calculations, all of the numbers belong to this arithmetic sequence.
<h3>How to calculate an arithmetic sequence?</h3>Mathematically, the nth term of an arithmetic sequence can be calculated by using this expression:
<u>Where:</u>
- d is the common difference.
- a₁ is the first term of an arithmetic sequence.
- n is the total number of terms.
Next, we would determine the common difference as follows:
d = a₂ - a₁
d = 105 - 99 = 6.
d = a₃ - a₂
d = 111 - 105 = 6.
d = a₄ - a₃
d = 117 - 111 = 6.
Based on the calculations, all of the numbers belong to this arithmetic sequence.
Read more on arithmetic sequence here: brainly.com/question/12630565
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Complete Question:
What is the number that does not belong to this sequence 99, 105, 111, 117, 123, 129, 135, 141, 147, 153