Multiply/Divide Rational Numbers
A tire on a miniature car has a diameter of 1.468 inches. The circumference of a tire for a full size car is 65.97 inches.
Question 1
To the nearest tenth, what is the circumference of the miniature tire? (C = πd)
Responses
A 3.9 inches3.9 inches
B 4.6 inches4.6 inches
C 5.1 inches5.1 inches
D 6.3 inches6.3 inches
Question 2
To the nearest tenth, how many times greater is the circumference of the full size car's tire when compared to the circumference of the miniature car's tire?
Responses
A 8.5 times greater8.5 times greater
B 12.2 times greater12.2 times greater
C 14.3 times greater14.3 times greater
D 15.2 times greater
Question 1:
The diameter of the miniature car's tire is given as 1.468 inches. To find the circumference, we can use the formula C = πd, where π is approximately equal to 3.14.
C = 3.14 * 1.468 = 4.60752... inches.
Rounding to the nearest tenth, the circumference of the miniature tire is approximately 4.6 inches.
Therefore, the correct answer is B) 4.6 inches.
Question 2:
To find how many times greater the circumference of the full size car's tire is compared to the circumference of the miniature car's tire, we can divide the circumference of the full size car's tire by the circumference of the miniature car's tire.
Circumference of full size car's tire = 65.97 inches
Circumference of miniature car's tire = 4.6 inches
65.97 / 4.6 ≈ 14.34.
Rounding to the nearest tenth, the full size car's tire's circumference is approximately 14.3 times greater than the miniature car's tire's circumference.
Therefore, the correct answer is C) 14.3 times greater.