The table shows the temperature (y) at different altitudes (x). This is a linear relationship. (Example 2)
2)Find the slope of this relationship

3)Find the y-intercept for this relationship

4)Write an equation in slop intercept form that represents this relationship

5)Use the equation to determine the temperature at an altitude of 5000 feet

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, and

for

step-by-step explanation:

we can analyze the pattern at which the terms increase. let us denote , , , so that we can call

note the following:

the pattern: to get the next term value, we just add the next term number (e.g. 1st, 2nd, to the previous term value (term values are the given numbers in the question, 1, 3, 6, 10, 15,

from , to get to , we add

from , to get to , we add

etc.

we need to form a recursive formula, a formula that has the next term as a function of the previous term. so a possible recursive formula can be

, and for

step-by-step explanation:

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