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 circumference of the miniature tire can be calculated using the formula C = πd, where d is the diameter of the tire.
C = π(1.468)
C ≈ 4.6 inches
Therefore, the circumference of the miniature tire is approximately 4.6 inches.
The correct answer is B) 4.6 inches.
Question 2:
To find the number of times greater the circumference of the full-size car's tire is compared to the miniature car's tire, we divide the circumference of the full-size car's tire by the circumference of the miniature car's tire.
Number of times greater = (Circumference of full-size car's tire) / (Circumference of miniature car's tire)
Number of times greater = 65.97 / 4.6 ≈ 14.3
Therefore, the circumference of the full-size car's tire is approximately 14.3 times greater than the circumference of the miniature car's tire.
The correct answer is C) 14.3 times greater.