The linear equation in slope - intercept form that models the total cistern of the rental over times is
B= 30x + 20
If you want to keep it technical, the normal “/unit rate” for running is minutes per mile. You can use dimensional analysis like I did below to find the answer. You should get 11.45 min/mile or about 11 min 25 sec per mile
Answer:
Step-by-step explanation:
You might find this easier if you change h(x) to y. It might look more familiar.
you are given 1 point and that is (-1,1). What that means is when x = -1,
y = 1
You have written this as though y is linear. It is not. The power is 1/3, not 1.
Let us try B which is what I think the answer is.
y = (x + 2)^(1/3)
Put x = -1 on the right hand side.
y = (-1 + 2)^(1/3)
y = (1)^(1/3)
The cube root of 1 is 1.
So the answer is
y = (x + 2)^(1/3)
This problem is an example of solving equations with variables on both sides. To solve, we must first set up an equation for both the red balloon and the blue balloon.
Since the red balloon rises at 2.6 meters per second, we can represent this part of the equation as 2.6s. The balloon is already 7.3 meters off of the ground, so we just add the 7.3 to the 2.6s:
2.6s + 7.3
Since the blue balloon rises at 1.5 meters per second, we can represent this part of the equation as 1.5s. The balloon is already 12.4 meters off of the ground, so we just add the 12.4 to the 1.5:
1.5s + 12.4
To determine when both balloons are at the same height, we set the two equations equal to each other:
2.6s + 7.3 = 1.5s + 12.4
Then, we solve for s. First, the variables must be on the same side of the equation. We can do this by subtracting 1.5s from both sides of the equation:
1.1s + 7.3 = 12.4
Next, we must get s by itself. We work towards this by subtracting 7.3 from both sides of the equation:
1.1s = 5.1
Last, we divide both sides by 1.1. So s = 4.63.
This means that it will take 4.63 seconds for both balloons to reach the same height. If we want to know what height that is, we simply plug the 4.63 back into each equation:
2.6s + 7.3
= 2.6 (4.63) + 7.3
= 19.33
1.5s + 12.4
= 1.5 (4.63) + 12.4
= 19.33
After 4.63 seconds, the balloons will have reached the same height: 19.33 meters.
