Question

Please help I will mark brainliest if you explain WHY the answer is that in simple terms. A thanks and brainliest!

Answer 1

Hey there! :)

Answer:

x = 7L/100km.

Step-by-step explanation:

Solve this problem by using the slope formula:

$m = \frac{\text{rise}}{\text{run}} = \frac{y_2 - y_1}{x_2 - x_1}$

Use the points (100, 40) and (600, 5) and plug these into the formula:

$m = \frac{5-40}{600-100}$

Simplify:

$m=\frac{-35}{500}$

Since this is describing the rate of consumption, we can simply write the slope as:

$m = \frac{35}{500}$

The question is asking for the rate of consumption over 100 km, therefore:

$\frac{35}{500} = \frac{x}{100}$

Cross multiply:

3500 = 500x

Divide both sides by 500:

3500/500 = 500x/500

x = 7L/100km.

Answer 2

Answer:

The answer will be 7L/100km.

Step-by-step explanation:

The fuel consumption rate is already given for the first 100 km. So, the next 500 km will be 100km to 600km. You have to find the slope of the line during this travel. If you observe, the fuel lowers from 40 litres to 5 litres in this 500km journey. That means, 35 litres were used for 500km. Divide both with 5. That gives 7litres per 100km.