The temperature fell 4 degrees in the last hour. Now it is 21 degrees. Write an equation to find the temperature it was 1 hour a
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Answer:
(a) The time the T-shirt takes to maximum height is 2 seconds
(b) The maximum height is 68 ft
(c) The range of the function that models the height of the T-shirt over time given above is
Step-by-step explanation:
Here, we note that the general equation representing the height of the T-shirt as a function of time is
Where:
h = Height reached by T-shirt
t = Time of flight
u = Initial velocity = 64 ft/s
g = Acceleration due to gravity (negative because upward against gravity) = 32 ft/s²
h₁ = Initial height of T-shirt = 4 ft
(a) The maximum height can be found from the time to maximum height given as
v = u - gt
Where:
u = Initial velocity = 64 ft/s
v = Final upward velocity at maximum height = 0 m/s
g = 32 ft/s²
Therefore,
0 = 64 - 32·t
32·t = 64 and
t = 64/32 = 2 seconds
(b) Therefore, maximum height is then
∴ h = 68 ft
The T-shirt is then caught 41 ft above the court on its way down
(c) The range of the function that models the height of the T-shirt over time given above is derived as
With u = 64 ft/s
g = 32 ft/s² and
h₁ = 4 ft
The equation becomes
.
The slope-intercept form:
<em>add 27x to both sides</em>
<em>divide both sides by 9</em>
We are given that Peter buys 12 bunches of bananas for 9.00.
We need to determine how much peter will pay for 8 bunches.
Let us set up proportion now.
12 bunches of bananas for 9.00 = 12 : 9
Let us assume Peter will pay for 8 bunches = $x.
Therefore, 8 bunches of bananas for x = 8 : x.
<h3>Setting up proportion:</h3><h3>On cross-multiplying, we get
12x = 9×8
12x = 72.
Dividing both sides by 12, we get
x=6.
<h3>Therefore, Peter will pay $6 for 8 bunches.</h3>