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 this situation.
b. what are the possible lengths of the shortest piece of wire?
(this is solving inequalities using multiplication or division)

Part a) The inequality that represent the situation is

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

Step-by-step 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

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

Divide by 10 both sides

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

answer

see attachment

explanation

the given function is

this function has y-intercept at

-4 and a slope of 2.

note that, the graph has a positive slope.

the graph that represents this function is the straight line that moves upward from left to right.

the graph touches the y-axis at -4.

the correct choice is the graph shown in the attachment.

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step-by-step explanation: