Answer:
[tex]x = \$28.5[/tex]
Step-by-step explanation:
Given
Variation: Direct Proportion
[tex]3.2m = \$38[/tex]
Required
Determine the cost of 2.4m length
Represent the cost of 2.4m length with x
So, we have:
[tex]3.2m = \$38[/tex]
and
[tex]2.4m = x[/tex]
Cross Multiply:
[tex]3.2m * x = \$38 * 2.4m[/tex]
[tex]3.2 * x = \$38 * 2.4[/tex]
Solve for x
[tex]x = \frac{\$38 * 2.4}{3.2}[/tex]
[tex]x = \frac{\$91.2}{3.2}[/tex]
[tex]x = \$28.5[/tex]
Hence, the cost of 2.4m length is $28.5