Answer:
Step-by-step explanation:
<u>Step 1:</u>
<u>Calculate the Y-intercept:</u>
<u>Calculate the X-intercept:</u>
<u>Calculate the slope:</u>
<u>Solutions:</u>
Given:
Perimeter of a rectangle = 24
Width of the rectangle = x
Length of the rectangle = y
To find:
The length of the rectangle in terms of x and possible values of x and y.
Solution:
The perimeter of a rectangle is:
Where, l is the length and w is the width.
Putting , we get
Divide both sides by 2.
The possible values of x are 1, 2, 3, 4, 6, 7, 8, 9, 10, 11 and the respective possible y values are 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1.
Therefore, the value of y in terms of x is .
Answer:
y = 5cos(πx/4) +11
Step-by-step explanation:
The radius is 5 ft, so that will be the multiplier of the trig function.
The car starts at the top of the wheel, so the appropriate trig function is cosine, which is 1 (its maximum value) when its argument is zero.
The period is 8 seconds, so the argument of the cosine function will be 2π(x/8) = πx/4. This changes by 2π when x changes by 8.
The centerline of the wheel is the sum of the minimum and the radius, so is 6+5 = 11 ft. This is the offset of the scaled cosine function.
Putting that all together, you get
... y = 5cos(π/4x) + 11
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The answer selections don't seem to consistently identify the argument of the trig function properly. We assume that π/4(x) means (πx/4), where this product is the argument of the trig function.
