Question

The graph shows the time required to make bracelets. How many hours will it require to make 15 bracelets?

• A. 15
• B. 10
• C. 18
• D. 12

Answer 1

The correct option is D 12

$x_1=3,y_1=3.75;x_2=9,y_2=11.25$
Unit rate $=\frac{\text{Rise}}{\text{Run}}=\frac{y_2-y_1}{x_2-x_1}=\frac{11.25-3.75}{9-3}=\frac{7.5}{6}=1.25$ bracelets/hour
Number of hours required to make 1.25 bracelets $=1$ hour
Number of hours required to make 1 bracelet $=\frac{1}{1.25}$ hour
Number of hours required to make 15 bracelets $=\frac{1}{1.25}\times 15=\frac{100}{125}\times 15=\frac{4}{5}\times 15=4\times 3=12$ hours