1)
n 1 2 3 4 5 6
f(n) 1033 932 831 730 629 528
First term (a₁): <u>1033 </u> Common difference (d): <u>-101 </u>
Explicit rule:
Recursive rule: 




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2)
n 1 2 3 4 5 6
f(n) -39 -29 -19 -9 9 19
First term (a₁): <u> -39 </u> Common difference (d): <u> +10 </u>
Explicit rule:
Recursive rule: 




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3)
n 1 2 3 4 5 6
f(n) 3.75 2.5 1.25 0 -1.25 -2.5
First term (a₁): <u> 3.75 </u> Common difference (d): <u> -1.25 </u>
Explicit rule:
Recursive rule: 




Answer: the maximum number of drinks Liam can buy is 4 without over exceeding his price limit.
work:
$3.50 for 5 tacos is $17.50
9 - 5 tacos = 4 drinks
4 drinks x $2 = $8
$17.50 + $8 = $25.50 out of $30 price limit
Answer: FIRST OPTION.
Step-by-step explanation:
Given the following function:

Follow this steps in order to find its inverse:
1. Rewrite the function with
:

2. Solve for "x":

3. Now you must exchange the variables:
4. And finally, rewrite the function with
:
Therefore, the inverse function is
I'm pretty sure you did it right.