Answer:
- Part 1 of 4 = C = 314
- Part 2 of 4 =52.33
- Part 3 of 4 = 36.57
- Part 4 of 4 = 18.63
Explanation:
Part 1 of 4
If the diameter of Randy's flower bed is 100 inches, what is the distance around the garden? (RememberC/d= 3.14.)
C/d = 3.14
C/100 = 3.14
1
- Substitute the given values.
C/100 = 3.14 × 100
1 × 100
Since 1 × 100 is 100, multiply 3.14 by 100 to find the value of C.
C /100 = 314/ 100
C = 314
The distance around Randy's garden is 314 inches.
Part 2 of 4
If the curved bricks he wants to buy are each half a foot long, how many will Randy need to put around the outside of the garden? Complete the explanation. If necessary, round your answer to the nearest hundredth.
Half a foot is 6 inches.
Divide the distance around Randy's garden by the number of inches in half afoot.
314 ÷ 6 = 52.33
Randy will need to put 52.33 bricks that are each half a foot long around his garden.
Part 3 of 4
If each brick costs $0.69, how much will it cost Randy to get the material to put around the outside of his garden?
Multiply the number of bricks Randy needs by the cost of each brick to find the total cost of the materials. Remember that you cannot buy a fraction of a brick.
53 × 0.69 = 36.57
The materials will cost $36.57.
Part 4 of 4
If Randy's mother decides he can only have half of that diameter for his flower bed, how will the cost of the bricks be affected? Complete the explanation.
The original diameter was 314 inches, so half of the original diameter is 157 inches.
Randy will need 27 bricks to cover 157 inches, so multiply 27 by the cost of each brick to find Randy's new cost.
27 × 0.69 = 18.63
It will cost Randy $18.63 to cover a garden whose diameter is half of the original diameter.