At the gas station, each liter of gas costs \$3$3dollar sign, 3, but there's a promotion that for every beverage you purchase yo
2 answers:
Answer:
Yes, there is a proportional relationship between the two.
Step-by-step explanation:
Given is :
Each liter of gas costs is $3, but with purchase of 1 beverage, we save $0.20 on gas. Similarly, if we purchase 2 beverage we save $0.40, If we purchase 3 beverages, we save $0.60 on gas.
Here, we can see that with each beverage, the savings on the gas is increasing. So, its proportional to each other.
If we want to show the relationship:
Let us suppose money saved be = x
Let us suppose the beverages purchased be = b
So,
Hence, yes the total savings on gas is proportional to the number of beverages you purchase.
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Answer:
C. x+y = 1 and -x-y = -1
Step-by-step explanation:
Remember that if a system of equations has an infinite number of solutions, then the resulting equation from using the first step of the elimination method would have no variables and would be true.
1) Let's try canceling out the equations in option C, x+y =-1 and -x-y =-1. Add the two equations together. (Work shown in attached picture.)
2) All of the terms cancel out with each other, leaving only a true statement of 0 = 0. Thus, option C is the answer.
Given:
The function is:
Where p(t) represents the number of milligrams of the substance and t represents the time.
To find:
The correct explanation for the number 0.25 and 500 in the given function.
Solution:
The general exponential function is:
...(i)
Where, a is the initial value and b is the growth/decay factor. If , then decay factor and if
, then growth factor.
We have,
...(ii)
On comparing (i) and (ii), we get
, it means initial there are 500 milligrams of the substance.
, this value is less than 1, it means the substance is decreasing by a factor of 0.25.
Therefore, 0.25 means the substance is decreasing by a factor of 0.25 and 500 means the initial value of substance is 500 milligram.