Answer:
Step-by-step explanation:
Reasoning A store sells packages of comic books with a poster. A poster and 5 comics cost $13.99. A poster and 12 comics cost $20.99. Write a linear function rule that models the cost y of a package containing any number x of comic books. Suppose another store sells a similar package, modeled by a linear function rule with initial value $. Use pencil and paper. Explain which store has the better deal. The linear function rule is y nothing.
False ?
I am not sure, I took the test and I don’t remember the answer
Answer:
C) 65,535
Step-by-step explanation:
You can add up the 8 terms ...
3, 12, 48, 192, 768, 3072, 12288, 49152
to find their sum is 65535.
_____
<em>Estimating</em>
Knowing the last term (49152) allows you to make the correct choice, since the sum will be more than that and less than double that.
_____
<em>Using the formula</em>
You know the formula for the sum of a geometric sequence is ...
S = a1(r^n -1)/(r -1)
where a1 is the first term (3), r is the common ratio (4), and n is the number of terms (8).
Filling in the values, you find the sum is ...
S = 3(4^8 -1)/(4-1) = 4^8 -1 = 65535
They need 18 more teachers.
Set the problem up as a ratio.
3 x
---- = -------
70 14,700
70 x = 44,100
x = 630
The district already has 612 teachers. So, 630 - 612 = 18 more needed.
