Answer:
Equation to determine crystals total bill (T) =(7.7+2x) - 1.50
Step-by-step explanation:
Given:
Number of bottles of pop purchased = 4
Number of candy bars purchased = 3
Number of chips bag purchased = 2
Cost of per bottle of pop = $1.25
Cost of per candy bar = $.90
Cost of the coupon = $1.50
To Find :
Equation to determine crystals total bill (T) given the cost of one bag of chips = ?
Solution:
Let the cost of one chips bag be x
Cost of 4 bottles of pop
=>![4 \times 1.25](https://tex.z-dn.net/?f=4%20%5Ctimes%201.25)
=>$ 5
Cost of 3 candy bars
=>![3 \times 0.90](https://tex.z-dn.net/?f=3%20%5Ctimes%200.90)
=>$ 2.7
Cost of 2 bags of chips
=>![2 \times x](https://tex.z-dn.net/?f=2%20%5Ctimes%20x)
=>$ 2x
Now the total cost of the bill is
T = 5 + 2.7+ 2x
T =7.7+2x
Also Krystal had a coupon worth $1.50, the cost of the ticket will be
T =(7.7+2x) - 1.50
Sum of geometric sequence
for the sum where the initial value is a₁ and the common ratio is r and the term is n
![S_n= \frac{a_1(1-r^n)}{1-r}](https://tex.z-dn.net/?f=S_n%3D%20%5Cfrac%7Ba_1%281-r%5En%29%7D%7B1-r%7D%20)
common ratio is -3
-5 times -3 is 15, -15 times -3=-45 etc
first term is -5
and we want the 8th term
![S_8= \frac{-5(1-(-3)^8)}{1-(-3)}](https://tex.z-dn.net/?f=S_8%3D%20%5Cfrac%7B-5%281-%28-3%29%5E8%29%7D%7B1-%28-3%29%7D%20)
![S_8= \frac{-5(1-6561)}{1+3}](https://tex.z-dn.net/?f=S_8%3D%20%5Cfrac%7B-5%281-6561%29%7D%7B1%2B3%7D%20)
![S_8= \frac{-5(-6560)}{4}](https://tex.z-dn.net/?f=S_8%3D%20%5Cfrac%7B-5%28-6560%29%7D%7B4%7D%20)
![S_8= \frac{32800}{4}](https://tex.z-dn.net/?f=S_8%3D%20%5Cfrac%7B32800%7D%7B4%7D%20)
![S_8= 8200](https://tex.z-dn.net/?f=S_8%3D%208200)
the sum is 8200
Answer: it’s 6:00 pm
Step-by-step explanation:
-x<-x+7(x-2)
-x<-x+7x-14 Distribute the 7
-x<6x-14 Combine like terms
-7x<-14 Move all variables to one side
x>2 Divide by -7 to isolate the variable