Question

the relationship between the number of $4 lunches you buy with a $100 school lunch card and the money remaining on the card. Is the relationship a solid line or a set on unconnected points?

Answer 1

Answer:

The relationship will be a solid line.

Step-by-step explanation:

The relationship between the number of $4 lunches you buy with a $100 school lunch card and the money remaining on the card.

The relationship will be a solid line as it is a linear and common slope. Each time you buy lunch, the amount in the card will decrease by $4.

Let the number of lunches you buy be = x

Let the amount remaining in the card be = y

So, equation forms:

$y=100-4x$

When you buy 1 lunch, or x = 1

$y=100-4(1)=96$

When x = 2

$y=100-4(2)=92$

When x = 3

$y=100-4(3)=88$

We can see that the decrease is gradual and same.

You can also see the graph attached that a straight line is formed.