Write an equation that models this situation. At a sports banquet, 8 guests are seated at each of the 15 available tables. How m
2 answers:
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Answer:
The equation in the slope-intercept form will be:
Step-by-step explanation:
Given
- slope = m = 6
- point = (1, 3)
As we know that the equation of a line in point-slope form is
substituting the values m = 6 and point = (1, 3)
Writing the equation in slope-intercept form
where m is the slope, and b is the y-intercept
so the equation of the line in slope-intercept form becomes
add 3 to both sides
Therefore, the equation in the slope-intercept form will be:
This is a geometric sequence, with the first term: 1/64
The common ratio is found through the ratio of the first two terms and the second and third term.
Since there is a common difference of 2, we can generalise this sequence to find the nth term:
a is the first term, r is the common ratio, and n is the nth term in the sequence.
Substituting n = 7, we get:
Thus, the next term in the sequence is 1.
The common ratio is found through the ratio of the first two terms and the second and third term.
Since there is a common difference of 2, we can generalise this sequence to find the nth term:
a is the first term, r is the common ratio, and n is the nth term in the sequence.
Substituting n = 7, we get:
Thus, the next term in the sequence is 1.