Craig earns extra money as a lifeguard he earns $37 for 4 hours and $64.75 for 7 hours. Explain how you know whether the relationship between earnings and time is a proportional relationship.

Respuesta :

The ratio for earning of $37 for 4 hours is,

[tex]\frac{37}{4}[/tex]

The ratio for earning of $64.75 for 7 hours is,

[tex]\frac{64.75}{7}[/tex]

The relation between earning and time is proportional if both ratios are equal to each other.

Multiply the ratios such that denominator is same for both the cases.

[tex]\frac{37}{4}\cdot\frac{7}{7}=\frac{259}{28}[/tex]

and

[tex]\frac{64.75}{7}\cdot\frac{4}{4}=\frac{259}{28}[/tex]

So both ratios are equal to each other. Hence relation between time and earning is proportonal relationship.