Help please State whether the graph of the linear relationship is a solid line or a set of unconnected points. Complete the explanation of your reasoning.

The relationship between the number of $3 lunches you buy with a $150 school lunch card and the money remaining on the card

The relationship is a ( set of unconnected points, solid line )
because you (can, cannot) buy a ( positive number of lunches, fractional part of a lunch)

The relationship is a solid line because you can buy a positive number of lunches.

Step-by-step explanation:

$3 lunches $150 school lunch card

Let number of lunches = x

Let number of amount remaining on card = y

y = 150 - 3x

When you buy 1 lunch

y = 150 - 3(1)

     150 - 3

y = 147

When you buy 2 lunches

y = 150 - 3(2)

     150 - 6

y = 144

The decrease in the amount is constant and you can see on the graph that it is linear.

so, converting firstly the mixed fractions to improper fractions and then "adding".

1. 3. can also be expressed as (22/7)

2. -4.5

3. 3.6

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