Question

The table shows a proportional relationship between the weight on a spring scale and the distance the spring has stretched.

Answer 1

Answer:

See below

Step-by-step explanation:

As per the first row of proportional relationship, the proportion is:

• y = kx
• 28 = k*20
• k = 28/20 = 1.4

The function is therefore:

• y = 1.4x

a) Table is filled in below:

distance (cm)             |         weight (newtons)

20                               |         28

55                               |         55*1.4 = 77

140/1.4 = 100              |          140

1                                  |           1*1.4 = 1.4

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b)  The scale should consider the coefficient 1.4, therefore x- axis will have a scale of 100 with intervals of 1 cm and y- axis will have a scale of 140 with intervals of 1.4 newtons

Answer 2

Answer:

55= 39 2/7

Step-by-step explanation: