Halona walks 1.93 kilometers to a neighbor's house in 23 minutes. Assuming she walks at a constant speed, write a proportion that represents how many kilometers, y, Halona can walk in z minutes. Then solve your proportion for y. 1.93 Proportion: у х 23 y =

Respuesta :

EXPLANATION:

The proportion states that he walks 1.93 kilometers at a constant speed in 23 minutes, so we can formulate the equation in the same way:

-First we must divide to find the constant or the proportion, then we divide 1.93 by 23; we represent the constant with the letter k:

[tex]\begin{gathered} K=\frac{y}{x} \\ k=\frac{1.93}{23} \\ k=0.08 \\ \text{ANSWER:} \\ \text{The constant or porportion is :0.083} \end{gathered}[/tex]

With the constant found we can propose an equation that determines the constant speed at which Halona walks at any time.

Now we can formulate the following equation:

[tex]\begin{gathered} y=(z)(k) \\ y=(z)(0.08) \\ where\text{ z is }any\text{ moment of time; an k is the }cons\tan t\text{ value} \end{gathered}[/tex]

Multiplying any time with the constant will give us the constant speed.

IMPORTANT NOTE:

When we give different values ​​to time, it must be multiplied by the constant, which means that the speed remains stable.