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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?
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 \( \frac{1 - 0}{1 - 0} = 1 \).
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