Question

1. kiera wanted to drive a car that uses less gasoline, so she bought a hybrid. there is a proportional relationship between the volume of gasoline kieras car uses when driving on the highway (in gallons), x, and the distance she drives it on the highway (in miles), y. x (gallons) | y (miles) 1 | 25 2 | 50 3 | 75 4 | 100 write an equation for the relationship between x and y. simplify any fractions. y = 11. 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. if mark charged the suit for 1 hour, he can fly for 2 hours. write the equation for the relationship between x and y. y =

Explanation:

Question 10

Step1: Identify proportionality

For a proportional relationship, \( y = kx \), where \( k \) is the constant of proportionality.

Step2: Calculate \( k \)

Using \( x = 1 \), \( y = 25 \): \( k=\frac{y}{x}=\frac{25}{1}=25 \).

Step3: Write the equation

Substitute \( k = 25 \) into \( y = kx \), so \( y = 25x \).

Step1: Identify proportionality

For a proportional relationship, \( y = kx \), where \( k \) is the constant of proportionality.

Step2: Calculate \( k \)

Using \( x = 1 \), \( y = 2 \): \( k=\frac{y}{x}=\frac{2}{1}=2 \).

Step3: Write the equation

Substitute \( k = 2 \) into \( y = kx \), so \( y = 2x \).

Answer:

\( y = 25x \)

Question 11