Question

URGENT!!

A student needs 3 pieces of wire for a science project. The second piece must be 3 times as long as the first. The third piece must be twice as long as the second. The student has 350 inches of wire to make the three pieces. Let x be the length of the first wire.
a.) WRITE AN *INEQUALITY* THAT MODELS THE SITUATION.
b.) WHAT ARE THE POSSIBLE LENGTHS OF THE SHORTEST PIECE OF WIRE?

Answer 1

Part a) The inequality that represent the situation is

`x+(3x)+(6x) \leq 350\ in`

Part b) The possible lengths of the shortest piece of wire are all positive real numbers less than or equal to
`35\ inches`

Explanation:

Let

x------> the length of the first wire

3x---> the length of the second wire

2(3x)=6x -----> the length of the third wire

Part a) WRITE AN *INEQUALITY* THAT MODELS THE SITUATION

we know that

The inequality that represent the situation is

`x+(3x)+(6x) \leq 350`

Part b) WHAT ARE THE POSSIBLE LENGTHS OF THE SHORTEST PIECE OF WIRE?

we know that

The shortest piece of wire is the first wire

so

Solve the inequality

`x+(3x)+(6x) \leq 350`

`10x \leq 350`

`x \leq 35\ in`

The possible lengths of the shortest piece of wire are all positive real numbers less than or equal to
`35\ inches`