Question

Earn 100 points if you give right answer.

Answer 1

The conveyor belt 1 is faster.

Explanation:

Speed of conveyor belt 1,

→ m(x) = 157.1x

Now the speed of conveyor belt 2,

→ p(x) = x

→ p(125.6) = 2x || p(188.4) = 3x

→ x = 125.6/2 || x = 188.4/3

→ [ p(x) = 62.8 ] || [ p(x) = 62.8 ]

Then the fastest conveyor is,

→ m(x) = 157.1x > p(x) = 62.8

→ 157.1x > 62.8

→ Conveyor 1 > Conveyor 2

Hence, the conveyor belt 1 is faster.

Answer 2

• Conveyor belt 1 is faster

Explanation:

Given

• Conveyor belt1: m(x) = 157.1x

Find the equation of p(x) using table.

We see it is a proportional relationship, therefore:

• p(x) = kx
• 125.6 = 2k
• k = 125.6/2
• k = 62.8

Conveyor belt2: p(x) = 62.8x

As we see 157.1 > 62.8 which means conveyor 1 belt is faster.