Scarlet and Gunner are trying to determine which of them traveled at a greater speed when coming back from their vacation. 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 of each scenario. Be sure to include the unit rates in your explanation.
Gunner's traveling time is displayed by this graph.
Scarlet and Gunner are trying to determine which of them traveled at a greater speed when coming back from their vacation.
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 of each scenario. Be sure to include the unit rates in your explanation.
Gunner's traveling time is displayed by this graph.

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step-by-step explanation:

the system of inequity is

step-by-step explanation:

from the given graph it is noticed that we have two related lines. one is solid and another is dashed.

if a line passing through two points, then the equation of line is

the solid line passing through the points (0,4) and (4,0).

the related equation of solid line is .

similarly, find the related equation of dashed line. the dashed liune passing through the points (0,0) and (3,1).

the related equation of dashed line is

from the given graph it is noticed that the point (0,1) lies on the shaded region, therefore the point (0,1) must be satisfied by the related equations.

check the related equations by the point (0,1).

this statement is true if the sign of inequality is < instead of equality. since it is an solid line therefore the sign of inequality will be . the required inequality is

similarly, check the second related equation.

it is a dashed line, so this statement is true if the sign of inequality is > . the required inequality is

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step-by-step explanation:

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