![TanishaSchollaert1](/avatars/49627.jpg)
TanishaSchollaert1
12.10.2019 •
Mathematics
Mr. mole left his burrow that lies below the ground and started digging his way deeper into the ground, descending at a rate of 1.8, 8 meters per minute. after 5minutes, he was 13.5, 5 meters below the ground. let a represent mr. mole's altitude (in meters) relative to the ground after t minutes. complete the equation for the relationship between the altitude and number of minutes.
Solved
Show answers
More tips
- O Other What happens if you get scared half to death twice?...
- H Horoscopes, Magic, Divination Where Did Tarot Cards Come From?...
- S Style and Beauty How to Make Your Lips Fuller? Ideas and Tips for Beautiful Lips...
- S Style and Beauty How are artificial nails removed?...
- F Family and Home How to Sew Curtain Tapes: Best Tips from Professionals...
- H Horoscopes, Magic, Divination How to Cast a Love Spell on a Guy? Guide for Guys...
- F Family and Home How to Properly Use a Water Level?...
- L Legal consultation What Documents Are Required for a Russian Passport?...
- H Health and Medicine How to Treat Styes: Causes, Symptoms, and Home Remedies...
- F Family and Home Protect Your Home or Apartment from Pesky Ants...
Answers on questions: Mathematics
- M Mathematics Cube two different numbers...
- M Mathematics Iwas wondering if anybody had the questions to the module 8 dba for flvs. i usually dont do well unless i see the question, i dont need the answers just the question....
- M Mathematics Data is the following set of numbers 2,8,4,6,9,10,12,1,1,5,8,11 Find the mean and median values...
- G Geography What is the range of thickness of the crust?...
Ответ:
A(t)=−1.8t−4.5
Step-by-step explanation:
Mr. Mole is descending at a constant rate, so we are dealing with a linear relationship.
We know that Mr. Mole descended at a rate of 1.81.81, point, 8 meters per minute, so the slope \green mmstart color green, m, end color green is \green{-1.8}−1.8start color green, minus, 1, point, 8, end color green, and our function looks like A(t)=\green{-1.8}t+\pink bA(t)=−1.8t+bA, left parenthesis, t, right parenthesis, equals, start color green, minus, 1, point, 8, end color green, t, plus, start color pink, b, end color pink.
We also know that after 555 minutes, Mr. Mole was 13.513.513, point, 5 meters below the ground, which means that A(5)=-13.5A(5)=−13.5A, left parenthesis, 5, right parenthesis, equals, minus, 13, point, 5. We can substitute this into the formula of the function to find \pink bbstart color pink, b, end color pink:
\qquad\begin{aligned}A(5)&=-13.5\\ \green{-1.8}\cdot5+\pink b&=-13.5\\ -9+\pink b&=-13.5\\ \pink b&=\pink{-4.5}\end{aligned}
A(5)
−1.8⋅5+b
−9+b
b
=−13.5
=−13.5
=−13.5
=−4.5
This means that Mr. Mole's initial altitude is 4.54.54, point, 5 meters below the ground.
AKA the answer is A(t)=−1.8t−4.5
Ответ:
Leave it to you to count the number of outcomes.