Answer:
Bunny Hill Ski Resort:
y = 10x + 35
Diamond Ski Resort:
y = 5x + 40
Point where the cost is the same:
(1, 45)
Step-by-step explanation:
The question tells us that:
$35 and $40 are initial fees
$10 and $5 are hourly fees
This means that x and y will equal:
x = number of hours
y = total cost of ski rental after a number of hours
So we can form these 2 equations:
y = 10x + 35
y = 5x + 40
Now we are going to use System of Equations to find what point the cost of both ski slopes is the same.
Because they both equal y, we can set the equations equal to each other:
10x + 35 = 5x + 40
And we use basic algebra to solve for x:
10x + 35 = 5x + 40
(subtract 5x from both sides)
5x + 35 = 40
(subtract 35 from both sides)
5x = 5
(divide both sides by 5)
x = 1
Remember, x equals the number of hours.
That means when your rent out the skis for 1 hour, you will get the same price of $45 (you find the price by plugging in 1 into both of the equations)
Hope it helps (●'◡'●)
Answer:
Step-by-step explanation:
This is a translation up and right.
<u>Compare the coordinates of corresponding points:</u>
<u>The difference of coordinates:</u>
- -2 - (-5) = 3
- 3 - (-3) = 6
<u>The rule:</u>
Try y=3/2x + 3/2
rise over run is 12/8 which simplifies to 3/2
and the y intercept is 1.5 or 3/2
So the Rational Zeros Theorem states that <u>the potential zeros are ± P/Q, with P = factors of the constant and Q = factors of the leading coefficient.</u>
In this case, the constant is -3 and the leading coefficient is 2.
With P and Q established, divide them all as such:
<u>In short, your potential zeros are ± 1/2, ± 3/2, ± 1, and ± 2.</u>
