On rural highways, the average speed S (in miles per hour) is related to the amount of curvature C (in degrees) of the road. Suppose that on a straight road (C= 0), the average speed is 47.5 miles per hour and that this decreases by 0.647 mph for each additional degree of curvature. Find the formula expressing S as a linear 3. function of C.
On rural highways, the average speed S (in miles per hour) is related to the amount of curvature C (in degrees) of the road. Suppose that on a straight road (C= 0), the average speed is 47.5 miles per hour and that this decreases by 0.647 mph for each additional degree of curvature. Find the formula expressing S as a linear 3. function of C.
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Concept explainers
Rate of Change
The relation between two quantities which displays how much greater one quantity is than another is called ratio.
Slope
The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as:
Question

Transcribed Image Text:On rural highways, the average speed S (in miles per hour) is related to the amount of curvature C (in
degrees) of the road. Suppose that on a straight road (C= 0), the average speed is 47.5 miles per hour and that
3.
this decreases by 0.647 mph for each additional degree of curvature. Find the formula expressing S as a linear
function of C.
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