You are flying a kite. you pull in the kite at a rate of 1.75 feet per second. after 8 seconds, the kite is 30 feet from your hands. write an equation that represents the distance y (in feet) that the kite is from the end of your hands after x seconds. then graph the equation.

Part 1) the linear equation is

Part 2) The graph in the attached figure

Step-by-step explanation:

Part 1) Write an equation

Let

x ----> the time in seconds    

y ----> the distance in feet that the kite is from the end of your hands

we know that

The linear equation in slope intercept form is equal to

where

m is the slope or unit rate of the linear equation

b is the y-intercept or initial value

In this problem

we have

substitute

solve for b

----> the initial distance

therefore

The linear equation is equal to

Part 2) Graph the equation

we have

To graph the line we need two points

we have

(0,16) and (8,30)

Plot the points and connect them to graph the line

Remember that the values of x and y cannot be a negative number

The graph in the attached figure

we know that

applying the law of sines

°

so

∠j=18°

∠k=29°

∠l=180-(18+29)=133°

the answer part a) is

the measure of angle k is  ≈29°

part b)  the measure of angle k could also be

(180-29)=151°

so

∠j=18°

∠k=151°

∠l=180-(18+151)=11°

the answer part b) is

the measure of angle k could also be 151°

read more on -