Question

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

Decimals
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 _________.

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)