Hi.
The answer to your question is:
C. <em />y = 450 + 225<em>m</em>
<h3>Answer:</h3>
The rate of change in the 2nd 3-year interval is 3.375 times that in the 1st 3-year interval.
<h3>Explanation:</h3>
The exponential function tells you that each year values get multiplied by 1.5. Then after thee years, values are multiplied by 1.5³ = 3.375. This is true for all function values, including average rate of change. Whatever the rate of change is in years 0–3, it will be 3.375 times that in years 3–6.
The calculation performed by the graphing calculator confirms this:
... the average rate of change in years 3–6 is 160.3125; in years 0–3, it is 47.5.
The ratio of these average rate of cange values is 3.375.
Answer:
<em>Josh would need to purchase 20 gallons of gas for the cost to be the same at each car wash</em>
Step-by-step explanation:
We need to model both car wash's costs. The Quik-Clean Car Wash charges $15 for a car wash plus $2.50 per gallon for unleaded gasoline. If x is the number of gallons of unleaded gasoline. the total charges of this store are:
C1=15+2.5*x
The Mighty Clean Car Wash charges $10 for a carwash plus $2.75 per gallon for unleaded gasoline. Following the same procedure, their costs are:
C2=10+2.75*x
Josh wants to know how many gallons of gas will make both businesses charge the same. Equating both equations:
15+2.5*x=10+2.75*x
Simplifying:
-0.25x=-5
Solving:
x=-5/(-0.25)=20
Josh would need to purchase 20 gallons of gas for the cost to be the same at each car wash
Solve equation [1] for the variable x [1] x=(3y+6)
Plug this in or variable x in equation [2]
[2] 2(-3y+6)-y= 10
[2] -7y=-2
// solve equation [2] for the variable y
[2] 7y= 2
[2] y=2/7
By now we know this much
X= -3y+6
Y=2/7
Use the y value to solve for x
X=-3(2/7)+6=36/7
(x,y)=(36,7), (2/7)
