Question

Write an equation that models the linear situation: A submarine 560 feet bel

Decimals
ANSWERED
asked 2021-09-23
Write an equation that models the linear situation:
A submarine 560 feet below the surface comes up 2.5 feet per second.
Instructions:
Do not use any spaces between variables, constants, equals signs, and operation signs.
For example DO NOT enter \(\displaystyle{f{{\left({x}\right)}}}={2}{x}+{1}\) DO ENTER: \(\displaystyle{f{{\left({x}\right)}}}={2}{x}+{1}\)
Put parentheses around constants that are fractions like this: \(\displaystyle{y}={\left(\frac{{2}}{{3}}\right)}{x}-{\left(\frac{{1}}{{2}}\right)}\)
You may use decimals if the decimal values are exact. (You cannot use .33 for 1/3 because it is not exact, but you can use 0.25 for 1/4)
To write your equation, use the variables:
\(\displaystyle{t}=\) amount of time the submarine rises towards the surface (seconds)
\(\displaystyle{L}{\left({t}\right)}=\) see-level-position of the submarine (feet).
Equation _________.

Expert Answers (1)

2021-09-24
Step 1
\(\displaystyle{t}=\) Amount of time submarine sise towards
\(\displaystyle{L}{\left({t}\right)}=\) sea level position of submarine
Total time sequired for submarine to sife @ \(\displaystyle=\frac{{560}}{{2.5}}{f}\frac{{t}}{{\sec{=}}}{224}{\sec{}}\).
\(\displaystyle\rightarrow\) depth at submarine @ particular time,
\(\displaystyle{L}{\left({t}\right)}=-{\left({t}\cdot{2.5}\right)}+{560}\) (total depth)
LInear approx. \(\displaystyle{L}{\left({t}\right)}={560}-{2.5}{t}\) (feet)
Step 2
Linear approximation for the second problem will be,
\(\displaystyle{L}{\left({t}\right)}={460}-{1.75}{t}\) ......................(Answer)
0
 
Best answer

expert advice

Have a similar question?
We can deal with it in 3 hours

Relevant Questions

asked 2021-05-12
When a < 0 and b>1,y=abx models negative exponential growth. a. Write an exponential function that models negative growth. b. Give an example of a situation that could be modeled by your function. c. Explain one difference between negative exponential growth and exponential decay.
asked 2021-09-13
Write an algebraic equation for the following problem and then solve it.
Beth and Mark borrowed $4000 at a simple interest rate of \(\displaystyle{5}\%\) for a period of 3 years. What was the interest?
Write an equation for the interest I earned.
\(\displaystyle{I}=_{_}\)
(Do not simplify. Use integers or decimals for any numbers in the expression.)
The interest is $___.
(Simplify your answer.)
asked 2021-09-23
Write an algebraic equation for the following problem and then solve it.
When Angela and Walker first started working for the supermarket, their weekly salaries totaled $500. Now during the last 25 years Walker has seen his weekly salary triple. Angela has seen her weekly salary become four times larger. Together their weekly salaries now total $1740. How much did they each make 25 years ago?
The algebraic equation is ___\(\displaystyle={1740}\).
asked 2021-09-05
The average height of a 2 year old boy is 38 inches. an 8 year old averages 56 inches. Use this information to write a linear equation that models the height (in inches), y, in terms of the age (in years), x. Use the linear equation to predict the average height of a 5 year-old boy.
...