Chapter 1 Review 37 12. If fence posts are to be placed in a row 5 m apart, how

Question

Chapter 1 Review 37 12. If fence posts are to be placed in a row 5 m apart, how many posts are needed for 100 m of fence? 13. If a complete rotation of a car tire moves a car forward 6 ft, how many rotations of the tire occur before the tire goes off its 50,000 mi warranty? 14. The members of Mrs. Grant's class are standing in a circle; they are evenly spaced and are numbered in order. The student with number 7 is standing directly across from the student with number 17. How many students are in the class? A carpenter has three large boxes. Inside each large box are two medium-sized boxes. Inside each medium-sized box are five small boxes. How many boxes are there altogether? 15. 16. Use differences to find the next term in the following sequence: 5, 15, 37,77, 141, 17. An ant farm can hold 100,000 ants. If the farm held 1500 ants on the first day, 3000 ants on the second day, 6000 ants on the third day, and so on forming a geometric sequence, in how laue will the farm be full?

Explanation / Answer

13. We know that 1 mile = 1760 yards = 1760*3 = 5280 ft.

Therefore, 50000 miles = 50000*5280 = 264000000 ft.

Now, since a distance of 6ft. is equivalent to 1 complete rotation of a car tyre, hence 264000000 ft are equivalent to 264000000/6 = 44000000 complete rotations of the car tyre. Thus, the car tyre will go off the warranty after 44000000 complete rotations.

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