Question

The altitude above sea level of an airplane just after taking off from an airport on a high plateau is given by the linear function yequals1 comma 100x plus 2491​, where y is in feet and x is the time in minutes since​ take-off. Find and interpret the slope and ​y-intercept.

Answer 1

Answer:

Slope, m = 1100

y-intercept,c = 2491                                                            

Step-by-step explanation:

We are given the following in the question:

$y(x) = 1100x + 2491$

The above gives the altitude of the airplane above the sea level in feet(y) after x minutes since the take off.

Comparing the above equation, to a general linear equation, we have,

$y = mx + c$

where m is the slope and c is the y-intercept.

Comparing we get,

Slope, m = 1100

y-intercept,c = 2491

Interpretation:

• The slope of equation tells us about the rate of change of function with unit increase in value of x. Thus, the altitude of airplane increases 1100 feet when the time increases by 1 minute.
• The y-intercept is the value of y when x is 0. Thus, the altitude of airplane is 2491 feet when the airplane has not taken off.