Last Saturday, Paulina went to the park to run. She ran 7 miles total while she was at the park. During her run, she looked at her watch every mile to see how long she had been running. Some of her times from her run are recorded in the table below. Paulina's Recorded Running Times
Distance (in miles) Total Time Spent Running (in minutes)
2 24
3 36
7 ?

If Paulina ran at a constant speed during her entire run, how many total minutes did it take her to run all 7 miles?

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

they are simplified

step-by-step explanation: