Question

part 3: rafikis data chart
word problem:
rafiki tracks simbas walking distances. simba walks 20 miles in 5.5 months. complete the table and find the unit rates.
question:
how far will simba walk in 33 months if the same rate continues?
part 4: graph it like rafiki

• choose one table above.
• plot the points on the coordinate plane you will insert here.
• label your axes (x = independent variable, y = dependent variable).
• title your graph: \the circle of ratios\

Explanation:

Step1: Find the unit rate

The unit rate \(r\) (miles per month) is found by dividing the total miles by the total months. Given \(20\) miles in \(5.5\) months, \(r=\frac{20}{5.5}=\frac{20\times2}{5.5\times2}=\frac{40}{11}\) miles per month.

Step2: Use the unit - rate formula \(d = rt\)

We want to find \(d\) (distance) when \(t = 33\) months. Substitute \(r=\frac{40}{11}\) and \(t = 33\) into \(d=rt\). Then \(d=\frac{40}{11}\times33\).
Since \(33\div11 = 3\), \(d=40\times3\).

Answer:

\(120\) miles