Question

Nuka is weaving beaded strips. The double number line shows that they can weave 7 \,\text{cm}7cm7, start text, c, m, end text of the strip in 444 minutes. A double number line with 6 equally spaced tick marks. The line labeled Time, minutes, reads from left to right: 0, three unlabeled tick marks, 4, an unlabeled tick mark. The line labeled Length, centimeters, reads from left to right: 0, three unlabeled tick marks, 7, an unlabeled tick mark. A double number line with 6 equally spaced tick marks. The line labeled Time, minutes, reads from left to right: 0, three unlabeled tick marks, 4, an unlabeled tick mark. The line labeled Length, centimeters, reads from left to right: 0, three unlabeled tick marks, 7, an unlabeled tick mark. Based on the ratio shown in the double number line, what length can Nuka weave in 555 minutes?

Answer 1

Number lines are used to represent numbers and ratios using regular intervals

Nuka can weave 8.75 cm of strip in 5 minutes

How to determine the length of strip

Represent the ratio with:

Ratio = Length : Time

From the number line, they can weave 7cm of the strip in 4 minutes.

So, we have:

Ratio = 7cm : 4 minutes

Represent the length of strip made in 5 minutes with x.

So, we have:

x : 5 minutes = 7cm : 4 minutes

Remove the common units

x : 5 = 7cm : 4

Express as fraction

$\frac x5 = \frac{7cm}{4}$

Multiply both sides by 5

$x= \frac{7cm}{4} * 5$

Evaluate the quotient and the product

$x= 8.75$

Hence, Nuka can weave 8.75 cm of strip in 5 minutes

Read more about double number lines at:

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