Question

6. A worker uses 450 inches of steel wire to make 300 springs of the same size. At this rate, how many inches of steel

wire are needed to make Dspring?

Answer 1

To determine how many inches of steel wire are needed to make D springs, divide the total inches of steel wire used by the number of springs made to find the rate, then multiply this rate by D to find the total inches required for D springs.

Step-by-step explanation:

To find the number of inches of steel wire needed to make one spring (D springs), we first determine the rate at which steel wire is used per spring. Given that 450 inches of steel wire is used to make 300 springs, we can calculate the amount needed for one spring.

Divide the total inches of steel wire by the number of springs to find the inches of wire per spring: 450 inches ÷ 300 springs = 1.5 inches per spring.

To find the amount needed for D springs, you multiply the inches per spring by D: 1.5 inches/spring × D springs = 1.5D inches of steel wire.

Therefore, you would need 1.5D inches of steel wire to make D springs.

Answer 2

1.5D in

Step-by-step explanation:

we know that

A worker uses 450 inches of steel wire to make 300 springs

so

using proportion

Find out how many inches of steel wire are needed to make D spring

Let

x -----> inches of steel needed

`(450)/(300)(in)/(springs)=(x)/(D)(in)/(springs) \\\\x=D(450)/(300)\\\\x=1.5D\ in`