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read the description of a proportional relationship. a mysterious flyin…

Question

read the description of a proportional relationship.
a mysterious flying superhero known as blue sky protects the good citizens of newberry. unknown to these citizens, blue sky is actually mild - mannered mark, a scientist in a flying suit. before mark can fly in the suit, he needs to charge its battery. there is a proportional relationship between the number of hours mark has charged his flying suit, x, and the number of hours he can fly, y.
the equation that models this relationship is y = 2x.
how many hours can mark fly if he charged his suit for 2 hours? write your answer as a whole number or decimal.
hours

  1. read the description of a proportional relationship.

a mysterious flying superhero known as blue sky protects the good citizens of newberry. unknown to these citizens, blue sky is actually mild - mannered mark, a scientist in a flying suit. before mark can fly in the suit, he needs to charge its battery. there is a proportional relationship between the number of hours mark has charged his flying suit, x, and the number of hours he can fly, y.
the equation that models this relationship is y = 2x.
how many hours does mark need to charge his suit in order to fly for 8 hours? write your answer as a whole number or decimal.
hours

Explanation:

First Sub - Question (How many hours can Mark fly if he charged his suit for 2 hours?)

Step1: Identify the given values and formula

We know the formula is \(y = 2x\), and \(x = 2\) (the number of hours charged).

Step2: Substitute \(x\) into the formula

Substitute \(x = 2\) into \(y=2x\), we get \(y = 2\times2\).

Step3: Calculate the value of \(y\)

\(2\times2=4\).

Step1: Identify the given values and formula

We know the formula is \(y = 2x\), and \(y = 8\) (the number of hours he can fly).

Step2: Solve the formula for \(x\)

From \(y = 2x\), we can rewrite it as \(x=\frac{y}{2}\) by dividing both sides of the equation by 2.

Step3: Substitute \(y\) into the formula for \(x\)

Substitute \(y = 8\) into \(x=\frac{y}{2}\), we get \(x=\frac{8}{2}\).

Step4: Calculate the value of \(x\)

\(\frac{8}{2}=4\).

Answer:

4

Second Sub - Question (How many hours does Mark need to charge his suit in order to fly for 8 hours?)