Number lines are used to represent numbers at regular intervals.
Rob needs [tex]\mathbf{10\frac 12}[/tex] bags of flour to make 72 muffins
From the double number line, we have:
[tex]\mathbf{Flour: Muffin = 1 \frac{3}{4} : 12}[/tex]
To make 72 muffins, we substitute 72 for Muffins
[tex]\mathbf{Flour: 72 = 1 \frac{3}{4}: 12}[/tex]
Rewrite as:
[tex]\mathbf{Flour: 72 = \frac{7}{4}: 12}[/tex]
[tex]\mathbf{\frac{Flour}{ 72} = \frac{7/4}{12}}[/tex]
Multiply both sides by 72
[tex]\mathbf{Flour= \frac{7/4}{12} \times 72}[/tex]
[tex]\mathbf{Flour= 7/4 \times 6}[/tex]
[tex]\mathbf{Flour= 10\frac 12}[/tex]
Hence, he needs [tex]\mathbf{10\frac 12}[/tex] bags of flour to make 72 muffins
Read more about ratios and number lines at:
https://brainly.com/question/8847082
