Answer:
[tex] \dfrac{3}{2} [/tex] inches
Step-by-step explanation:
You can use a proportion.
1/6 hour is to 1/10 inch as 2 1/2 hours is to x inches.
[tex] \dfrac{\frac{1}{6}}{\frac{1}{10}} = \dfrac{2 \frac{1}{2}}{x} [/tex]
[tex] \dfrac{1}{6}x = \dfrac{1}{10} \times 2 \dfrac{1}{2} [/tex]
[tex] \dfrac{1}{6}x = \dfrac{1}{10} \times \dfrac{5}{2} [/tex]
[tex] \dfrac{1}{6}x = \dfrac{5}{20} [/tex]
[tex] \dfrac{1}{6}x = \dfrac{1}{4} [/tex]
[tex] x = \dfrac{6}{4} [/tex]
[tex] x = \dfrac{3}{2} [/tex]
Based on the rates given, the amount of rainfall that will fall in the time given will be 3/2 inches of rainfall.
Since we are given the information that in the first 1/6 hour of a rainstorm, 1/10 inch of rain fell, then the amount of rain that will fall in 2 1/2 hours will be:
= (2.5 / 0.167) × 0.1
= 1.5
It should be noted that the amount of rainfall that will fall in the time given will be 3/2 or 1.5 inches of rainfall
Learn more about rates on:
https://brainly.com/question/25853486
