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a linear equation in slope - intercept form is written the form y = mx …

Question

a linear equation in slope - intercept form is written the form y = mx + b, where m is the slope and b is the y - intercept.
discuss & write: identify the slope and y - intercept values for this relationship, then explain what each represents in this context.
slope: ____________
y - intercept: ____________
discuss & write: write an equation in function notation for the average glacial thickness, g(t), as a function of time, t, in years since 2020 in slope - intercept form.
g(t)=

  1. finding the year miami is at risk of flooding

discuss & write: sea level will pose a danger to miami when thwaites melts to a thickness of 2,436 meters. use your function, g(t), and this thickness value to solve for t. explain what your value of t represents in this context.
discuss & write: in what year will miami be at risk of flooding?

Explanation:

Step1: No data given for slope and y - intercept

No values provided to identify.

Step2: Write general function form

$G(t)=mt + b$ (m is slope, b is y - intercept).

Step3: Solve for t

Set $G(t)=2436$, get $t=\frac{2436 - b}{m}$ (if m and b known). t represents years since 2020 when Miami is at risk. But no answer for year as no m and b values.

Answer:

Slope: No value given
y - intercept: No value given
$G(t)=mt + b$
No answer for year as no m and b values.