Question

Three siblings are participating in a family-friendly running event. - The oldest sibling begins at the start line of the race and runs 7 miles per hour the entire time. - The middle sibling begins at the start line and walks at 3.5 miles per hour throughout the race. - The youngest sibling joins the race 4 miles from the start line and runs 5 miles per hour the rest of the way.

Answer 1

The siblings walking or running at a constant rate, illustrates a linear function.

• The graph of the oldest sibling is Graph B
• The graph of the middle sibling is Graph C
• The graph of the youngest sibling is Graph A

The complete question requires that, we match each graph to the sibling (see attachment)

Oldest sibling

$Starts = 0$ --- start line

$Rate =7$

So, the equation is:

$y = Starts + Rate \times x$

$y = 0 + 7 \times x$

$y = 7x$

When $x = 1$

$y = 7 \times 1 = 7$

This means that;

The graph of the oldest sibling passes through $(1,7)$

The graph of the oldest sibling is Graph B

Middle sibling

$Starts = 0$ --- start line

$Rate = 3.5$

So, the equation is:

$y = Starts + Rate \times x$

$y = 0 + 3.5 \times x$

$y =3.5x$

When $x = 1$

$y =3.5 \times 1$

This means that;

The graph of the middle sibling passes through $(1,3.5)$

The graph of the middle sibling is Graph C

So, we can conclude that:

The graph of the youngest sibling is Graph A

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