Question

1) There is a proportional relationship between the number of months a person has had a streaming movie subscription and the total amount of money they have paid for the subscription. The cost for 6 months is $47.94. The point (6,47.94) is shown on the graph below. 180 160 140 120 100 cost (dollars) 80 60 (6, 47.94) 40 20 16 18 8 20 22 2. 4 6 10 12 14 time (months)

Answer 1

Given:

The point which describes the relationship between the months and total amount is, (6, 47.94).

a) To find the constant proportionality:

6 months =47.94

Then, for 1 month,

`(47.94)/(6)=7.99`

Hence, the constant proportionality is $7.99.

b) The constant proportionality tells that, if the month is increased then the cost is also increased by $7.99.

c) To find the three more points and label it:

For the month, m=1, then the cost c=$7.99

For the month, m=2, then the cost c=$15.98

For the month m=3, then the cost c=$23.97

Therefore, the three points are (1, 7.99), (2,15.98) and (3, 23.97).

The graph is,

d) The relationship between the months and the cost is,

C=7.99 m