Respuesta :
Adam can cover [tex]\boxed{{\mathbf{168 km}}}[/tex] with [tex]14{\text{ liters}}[/tex] of fuel.
Further explanation:
The direct relationship is the relationship between two quantities in which one quantity decreases then the other quantity also decreases and vice versa. The examples are supply function and speed distance function.
The direct relationship of the variables [tex]a{\text{ and }}b[/tex] as
[tex]\frac{{{a_1}}}{{{a_2}}}=\frac{{{b_1}}}{{{b_2}}}[/tex] ......(1)
Here, [tex]{a_1},{a_2}[/tex] are the quantities of the variable [tex]a[/tex] and [tex]{b_1},{b_2}[/tex] are the quantities of the variable [tex]b[/tex]
Given:
Adam covered the distance [tex]132{\text{km}}[/tex] by car with 11 liters of fuel.
Step by step explanation:
Step 1:
The provided data can be written in the table form as,
It can be seen that data is direct relationship.
Here, [tex]{a_1}=132,{a_2}=a,{b_1}=11{\text{ and }}{{\text{b}}_2}=14[/tex]
Step 2:
Now put the values [tex]{a_1}=132,{a_2}=a,{b_1}=11{\text{ and }}{{\text{b}}_2}=14[/tex] in equation (1) to get the value of [tex]a[/tex] .
[tex]\begin{gathered}\frac{{{a_1}}}{{{a_2}}}=\frac{{{b_1}}}{{{b_2}}}\hfill\\\frac{{132}}{a}=\frac{{11}}{{14}}\hfill\\\end{gathered}[/tex]
Now calculate the further equation by the cross multiplication method.
[tex]\begin{aligned}\frac{{132}}{a}&=\frac{{11}}{{14}}\\132\times14&=11a\\1848&=11a\\a&=168\\\end{aligned}[/tex]
Thus, Adam can cover [tex]168{\text{ km}}[/tex] distance with [tex]14{\text{ liters}}[/tex] 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.
