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nikklg [1K]
3 years ago
8

The linear equation graphed above gives the height in feet above the ground of Shelly t seconds after she opened her parachute w

hen jumping from an airplane. According to the graph, how many seconds after opening her parachute will Shelly be 2,000 feet above the ground?

Mathematics
1 answer:
mars1129 [50]3 years ago
5 0

Answer:

\large \boxed{\text{60 s}}

Step-by-step explanation:

Assume your graph looks like the one below.

1. Calculate the equation of the straight line

The slope-intercept equation for a straight line is

y = mx + b

where m is the slope of the line and b is the y-intercept.

The line passes through the points (0,2600) and (30, 2300)

(a) Calculate the slope of the line

\begin{array}{rcl}m & = & \dfrac{y_{2} - y_{1}}{x_{2} - x_{1}}\\\\ & = & \dfrac{2300 - 2600}{30 - 0}\\\\& = & \dfrac{-300}{30}\\\\& = & \text{-10 ft/s}\\\\\end{array}

(b) Locate the y-intercept

The y-intercept is at 2600 ft

(c) Write the equation for the line

h = -10t + 2600

(d) Calculate the time to 2000 ft

\begin{array}{rcl}h & = & -10t + 2600\\2000 & = & -10t + 2600\\-600 & = & -10t\\t & = & \dfrac{-600}{-10}\\\\& = & \text{60 s}\\\end{array}\\

Shelley will be at 2000 ft 60 s after opening the parachute.

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