Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

eagle airlines flies charter planes all over the world. natalie, one of…

Question

eagle airlines flies charter planes all over the world. natalie, one of the airlines top pilots, flies routes in europe and north africa. natalies plane uses 1 kilogram of fuel for every kilometer she flies.
there is a proportional relationship between the distance natalie flies (in kilometers), x, and the amount of fuel her plane uses (in kilograms), y.
graph this relationship. select two points to draw a line.
what is the slope of the line?

Explanation:

Step1: Identify the relationship

The relationship is proportional, so \( y = kx \), where \( k \) is the slope. Given 1 kg fuel per km, so \( y = x \).

Step2: Calculate slope

Slope formula: \( \frac{y_2 - y_1}{x_2 - x_1} \). Take points (0,0) and (1,1). Then \( \frac{1 - 0}{1 - 0} = 1 \).

Answer:

1