13 Scarlet and Gunner are trying to determine which of them traveled at a greater speed when coming
back from their vacation.
Gunner's traveling time is displayed by this graph.
y
400
300
(5, 275)
Distance (miles)
200
100
(1, 55)
Х
2 4 6
Time (hours)
Scarlet maintained a constant speed throughout
her 7-hour journey. Her speed can be modeled
by 455 = mx, where x is the time in hours, and m
is the rate at which Scarlet traveled.
Based upon these two models, which person
traveled at a greater speed? Explain your
reasoning by using a written description each
scenario. Be sure to include the unit rates in your
explanation

p ÷ r = tan(x)

step-by-step explanation:

given that there is a figure below shows a right triangle: a right triangle is shown with hypotenuse equal to q units and the length of the legs equal to p units and r units.

graph is missing so i will create the graph as per given information.

the angle between the legs having lengths p units and q units is y degrees. the angle between the legs having lengths r units and q units is x degrees.

now we need to find about what is p ÷ r equal to.

so we can use trigonometric ratio tan(x)=[altitude]/[base] to find the value of p ÷ r, because p is the altitude and r is the base.

p ÷ r=tan(x)

hence final answer is p ÷ r=tan(x).