Answer:
the entire expression represents how much money she will spend on school supplies depending on how much packages of pencils and pads of paper.
Step-by-step explanation:
X² - 4x - 77 = 0
( x + 7) ( x - 11)
x + 7 = 0
x - 11 = 0
x = -7
x = 11
Answer:
Option 4
Step-by-step explanation:
:)
We have to triple Autumn's earning for each basket, so the table would be
![\begin{array}{c|c}\text{Baskets}&\text{Earnings}\\0&2\\1&6\\2&18\\3&54\\4&162\\5&486\\6&1458\\7&4374\\\end{array}](https://tex.z-dn.net/?f=%5Cbegin%7Barray%7D%7Bc%7Cc%7D%5Ctext%7BBaskets%7D%26%5Ctext%7BEarnings%7D%5C%5C0%262%5C%5C1%266%5C%5C2%2618%5C%5C3%2654%5C%5C4%26162%5C%5C5%26486%5C%5C6%261458%5C%5C7%264374%5C%5C%5Cend%7Barray%7D)
We expect an equation like
![m(b)=a\cdot x^b](https://tex.z-dn.net/?f=m%28b%29%3Da%5Ccdot%20x%5Eb)
where
is the initial value, and
is the multiplier. Since we start with 2$, and we triple the amount with each basket, we have
![m(b)=2\cdot 3^b](https://tex.z-dn.net/?f=m%28b%29%3D2%5Ccdot%203%5Eb)
This relation is exponential, because every time a new basket is made, the previous amount is multiplied by a constant. In other words, we have
![\dfrac{m(b+1)}{m(b)}=3\quad \forall b\geq0](https://tex.z-dn.net/?f=%5Cdfrac%7Bm%28b%2B1%29%7D%7Bm%28b%29%7D%3D3%5Cquad%20%5Cforall%20b%5Cgeq0)
For the graph, you just need to sketch the points from the table we draw above and connect them