Question

The formula s=30fd relates the speed S in miles per hour a car was traveling to the length d in feet that the car skidded when brakes were applied. The variable f is the coefficient of friction, which varies depending on the road surface and the condition of the tires. Which set of numbers contains the value of S for f = 0.5 and d = 63?
Select one:
a. whole numbers
b. rational numbers
c. integers
d. irrational numbers

Answer 1

The set of a number is the set that defines the type of values, the number can take. The set of S is the set of (d) irrational numbers

Given that:

$s = \sqrt{30fd$ --- the correct expression

$f = 0.5$

$d = 63$

To determine the set of S, we start by calculating its value

$s = \sqrt{30fd$

Substitute for f and d

$s = \sqrt{30 \times 0.5 \times 63$

$s = \sqrt{945$

$s = 30.74....$

The above number is a decimal number, and it cannot be represented as a fraction.

Hence, the set of S is the set of irrational number

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