Question

The number f of miles a helicopter is from its destination x minutes after takeoff is given by f (x)=40-2x. The number f of miles a commercial jet is from its destination x minutes after takeoff is shown in the graph below.

Answer 1

Answer:

Step-by-step explanation:

Function 'f' represents the number of miles (y-values) covered by the helicopter in 'x' (x-values) minutes.

f(x) = 40 - 2x

For x = 0,

f(x) = 40 miles

For f(x) = 0,

0 = 40 - 2x

x = 20 minutes

This shows that helicopter traveled 40 miles in 20 minutes.

Similarly, given graph shows distance covered by the jet on y-axis and duration of flight on x-axis.

For x = 0,

f(x) = 500 miles

For f(x) = 0,

x = 100 minutes

Commercial jet traveled 500 miles in 100 minutes.

Answer 2

The total distance and time taken for each flight are illustrations of intercepts.

• The helicopter traveled 40 miles in 20 minutes
• The commercial jet traveled 500 miles in 100 minutes

We have:

$x \to$ minutes

$f(x) \to$ miles

Helicopter

$f(x) = 40 - 2x$

Set f(x) to 0, to calculate the x-intercept

$0 = 40 - 2x$

Collect like terms

$2x = 40$

Divide by 2

$x =20$

Set x to 0, to calculate the y intercept

$f(x) = 40 - 2x$

$f(0) = 40 - 2 \times 0$

$f(0) = 40$

This means that, the helicopter traveled 40 miles in 20 minutes

Commercial Jet

From the graph, the intercepts are:

$(x_1,y_1) = (100,0)$ --- the x-intercept

$(x_2,y_2) = (0,500)$ --- the y-intercept

This means that, the commercial jet traveled 500 miles in 100 minutes

Read more about intercepts at:

https://brainly.com/question/3334417