Question

this table shows a proportional relationship between x and y.
what is the value of y when x = 27?
enter your response here:
only 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, -, -, and / are allowed in your answer.
mixed numbers are entered by adding a space after the whole number. spaces
are only allowed between whole numbers and fractions.

Explanation:

Step1: Find the constant of proportionality

Since \(x\) and \(y\) are in a proportional relationship, \(y = kx\). Using the pair \((x = 10,y = 6.70)\), we find \(k=\frac{y}{x}=\frac{6.70}{10}=0.67\).

Step2: Calculate \(y\) when \(x = 27\)

Substitute \(x = 27\) and \(k = 0.67\) into \(y=kx\). So \(y=0.67\times27\).

$$y = 0.67\times27=(0.6 + 0.07)\times27=0.6\times27+0.07\times27=16.2+1.89 = 18.09$$

Answer:

\(18.09\)