Manipur Board Solutions for Chapter: Linear Equations in Two Variables, Exercise 2: EXERCISE 4.2

In a city, the taxi fare for the first $\mathrm{kilometer}$ is $₹10$ and the fare for the subsequent distance is $₹6$ per $\mathrm{km}$. Taking the distance covered as $x \mathrm{km}$ and total fare as $₹y$, write a linear equation for this information and draw its graph $x\ge 1$.

The applied on a body is directly proportional to the acceleration produced, constant of proportionality being the mass of the body. Write an equation to express this situation and draw the graph of the equation when the mass is $3$ units.

In countries like Britain and USA, temperature is measured in Fahrenheit, whereas in countries like India, it is measured in Celsius. The linear equation that converts Fahrenheit to Celsius is given below:

$F=\frac{9}{5}C+32$

Draw the graph and answer the question from the graph:

If the temperature is $40°C$, what is the measure in Fahrenheit?

In countries like Britain and USA, temperature is measured in Fahrenheit, whereas in countries like India, it is measured in Celsius. The linear equation that converts Fahrenheit to Celsius is given below:

$F=\frac{9}{5}C+32$

Draw the graph and answer the question from the graph:

If the temperature is $113°F$, what is the measure in Celsius?

In countries like Britain and USA, temperature is measured in Fahrenheit, whereas in countries like India, it is measured in Celsius. The linear equation that converts Fahrenheit to Celsius is given below:

$F=\frac{9}{5}C+32$

Draw the graph and answer the question from the graph:

If the temperature is $0°C$, what is the measure in Fahrenheit and if the temperature is $0°F$, what is its measure in Celsius?

In countries like Britain and USA, temperature is measured in Fahrenheit, whereas in countries like India, it is measured in Celsius. The linear equation that converts Fahrenheit to Celsius is given below:

$F=\frac{9}{5}C+32$

Draw the graph and answer the question from the graph:

Find the temperature of which Fahrenheit and Celsius readings are the same?

The number of degrees and grades in an angle are in ratio $9:10$. Write the linear equation to express this statement. Draw the graph of the same and answer the following question.

If the measure of an angle is $36$, what is the measure in grades?

The number of degrees and grades in an angle are in ratio $9:10$. Write the linear equation to express this statement. Draw the graph of the same and answer the following question.

If the measure of an angle is ${70}^{\mathrm{g}}$, what is the measure in degrees?