Jordan is mailing a package at the post office. The box measures 8 3/4 inches long, 2 1/2 inches wide, and 5 1/4 inches high. Wh
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<em>Complete Question:</em>
<em>Select all of the pieces of information that would tell you x and y have a proportional relationship. </em>
<em>Let y represent the distance between a rock and a turtle's current position in meters and x represent the number of minutes the turtle has been moving. y=3x </em>
<em>1. After 4 minutes, the turtle has walked 12 feet away from the rock. </em>
<em>2. The turtle walks for a bit, then stops for a minute before walking again. </em>
<em>3. The turtle walks away from the rock at a constant rate. </em>
Answer:
1. After 4 minutes, the turtle has walked 12 feet away from the rock.
3. The turtle walks away from the rock at a constant rate.
Step-by-step explanation:
Given
Required
Determine which of the options answers the question
Recall that:
Analyzing the options 1 after the other:
Option 1:
In this option, we have that:
Substitute these values of x and y in the given equation
Because both sides of the equation are equal, this option shows a proportional relationship
Option 2:
The given equation cannot be used to ascertain the information given in this option.
Because for a every time (in minutes) traveled by the turtle, there's a corresponding distance moved.
Option 3:
Recall that
Assume
y would be
Assume
y would be
For every values of x and corresponding y value, there exist a constant relationship because:
This implies that the rate at which the turtle moved is 3ft/s and this rate is constant.
Answer:
length of the base = 9 ft
and height of the shed = 7 ft
Step-by-step explanation:
given data
volume = 567 cubic feet
base costs = $2 per square foot
roof costs = $5 per square foot
sides costs $4.50 per square foot
solution
we take here length of the base = x ft
and height of the shed = y ft
so Volume will be express as
volume = x²× y
567 = x² × y
y =
and
we know cost of material is express as here
cost of material = cost of base + cost top + cost 4 side ..................1
put here value
cost = x²(2) + x²(5) + 4xy (4.5)
cost = 7x² + 18xy
put here y value
cost = 7x² + 18 x ( )
differentiate and we get
C' = 14x -
we put here C' = 0 and we get
14x - = 0
solve it we get
x = 9 ft
and
y =
y = 7 ft