Question

The table below shows the amount charged in a year based on the number of cars that underwent servicing.

No. of servicing done in a year	5	7	9	11
Amount charged (in ₹)	6750	9450	12150	14850

Select the equation that represents the data above.

• A. $y=1350x$
• B. $y=1550x$
• C. $x=1350y$
• D. $y=1450x$

Answer 1

The correct option is A $y=1350x$

We know,
$\text{Unit rate}=Slope=\frac{Amount}{Numberofservicingdone}$

So, slope of the values given in the table is,
$Slope=\frac{6750}{5}=\frac{9450}{7}=\frac{12150}{9}=\frac{14850}{11}$
$=1350$

$\therefore$ The amount charged for each servicing done is ₹1350.

We know,
$Slope=\frac{Rise}{Run}=\frac{y}{x}$

$\therefore Slope=\frac{y}{x}=1350$

So, the required equation for the data given is $\text{y = 1350x}$.