Question

Adam drove his car 132 km and used 11 liters of fuel. How many kilometers will he cover with 14 liters of fuel?

Answer 1

168km, hope it helps

Answer 2

Adam can travel $\boxed{{\mathbf{168 km}}}$  with $14{\text{liters}}$  of fuel.

Further explanation:

The direct relationship is the relationship between two variables in which one variable increases then the other variable also increases and vice versa. It is also known as the positive relationship.

The examples of the direct relationship is the supply function and speed distance function.

The direct relationship of the variables $x{\text{ and }}y$  as

 $\frac{{{x_1}}}{{{x_2}}}=\frac{{{y_1}}}{{{y_2}}}$                                                                                                         ….. (1)

Here, ${x_1},{x_2}$  are the quantities of the variable $x$  and ${y_1},{y_2}$  are the quantities of the variable  $y$

Given:

Adam travelled the distance $132{\text{km}}$  with 11 liters of fuel.

Step by step explanation:

Step 1:

The given data can be represented in the table form as,

It can be observed that the data is direct relationship.

Here, ${x_1}=132,{x_2}=x,{y_1}=11{\text{ and }}{y_2}=14$

Step 2:

Now substitute the value ${x_1}=132,{x_2}=x,{y_1}=11{\text{ and }}{y_2}=14$  in equation (1) to obtain the value of $x$ .

$\begin{gathered}\frac{{{x_1}}}{{{x_2}}}=\frac{{{y_1}}}{{{y_2}}}\hfill\\\frac{{132}}{x}=\frac{{11}}{{14}}\hfill\\\end{gathered}$

Now solve the above equation by the cross multiplication method.

$\begin{aligned}\frac{{132}}{x}&=\frac{{11}}{{14}}\\132\times14&=11x\\1848&=11x\\x&=168\\\end{aligned}$

Therefore, the value of $x=168$ .

Thus, Adam can travel $168{\text{ km}}$  with $14{\text{liters}}$  of fuel.

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Answer details:

Grade: High school

Subject: Mathematics

Chapter: Comparing quantities

Keywords: Adam, car, fuel, distance, direct relationship, speed, positive relationship, increase, decrease, equation, cross multiplication method, variables, quantity, substitute.