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.

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

We have:

minutes

miles

Helicopter

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

Collect like terms

Divide by 2

Set x to 0, to calculate the y intercept

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

Commercial Jet

From the graph, the intercepts are:

--- the x-intercept

--- the y-intercept

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

Read more about intercepts at:

link

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.

-6 is the correct option from the above given options