Question

Find the missing term, if the table given below shows a proportional relationship between x and y.

• A. 28

Answer 1

The correct option is A 28

The table shows a proportional relation between x and y.

From the table, we observe:
Number of people = 3, Amount spent = $\$21$
Number of people = 5, Amount spent = $\$35$

We can also observe that, when:
$\text{x = 3, y = 21}⟹\text{y =}7\times \text{x}$
$\text{x = 5, y = 35}⟹\text{y =}7\times \text{x}$

$\text{So, output =}7\times \text{input}$

$\text{∴ Equation wil be : y =}7\times \text{x}$

So, putting x = 4 in the equation we see:
$y=7\times x⟹y=7\times 4=28$

∴ The missing term is 28.