Question

The relation between the quantity of gas used (in gallons), and the distance covered (in miles) by a car, is given in the graph. Which of the following is a false statement?

• A. For 4 gallons of gas, distance covered is 40 miles.
• B. As x increases, y decreases.
• C. For 2 gallons of gas, distance covered is 20 miles.
• D. As x increases, y also increases.

Answer 1

The correct option is B As x increases, y decreases.

The first option is,

'As x increases, y also increases.'

By observing the graph, we get

x = 1 gallon, y = 10 miles

x = 2 gallons, y = 20 miles

x = 3 gallons, y = 30 miles

Therefore, we observe that,

'As x increases, y also increases.'

The second option is, 'for 2 gallons of gas, distance covered is 20 miles'. This is true.

The third option is,

'As x increases, y decreases'

This is not true. Since, as x increases, y also increases.

The last option is, 'for 4 gallons of gas, the distance covered is 40 miles'.

This is true.

Hence, the false statement is, 'As x increases, y decreases'.