Jaime is at a library that is 5 miles from her house. Her brother, Max, is at a rec center that is 4.5 miles from the house. The library and rec center both close at 6:00 p. m. Jaime and Max are beginning their training for soccer, so
they decide to run home. Jaime maintains a constant rate of 8 miles per hour, while Max runs at a constant rate of
7.5 miles per hour.
Which system of equations correctly represents these situations where d is the distance from home in miles and t is
the length of time in hours?

Option A is correct.

Step-by-step explanation:

Given:

Distance between house and Jaime's library = 5 miles

Speed of Jaime when he is running from library to house = 8 miles per hour

Distance between house and Max's rec center = 5 miles

Speed of Max when he is running from rec center to house = 7.5 miles per hour

let d be the distance between house and their position at t hours.

According to the Question,

Distance Jaime covered in t hour = 8t

Distance left = 5 - 8t

So, d = 5 - 8t    ⇒ d = -8t + 5

Distance Max cover in t hour = 7.5t

Distance left to cover = 4.5 - 7.5t    

So, d = 4.5 - 7.5 t  ⇒ d = 7.5t + 4.5

Therefore, Option A is correct.

the multiples of 15 are 15, 30,45, 60, 75, 90, 105, 120, 135, 150, 165, 180, 195,   210, 225, 240, 255, 270, 285, 300, 315, 330, 345, 360, 375,   390, 405, 420, 435, 450, 465, 480, 495, 510, 525, 540, 555, 570, 585, 600, 615, 630, 645, 660, 675, 690, 705, 720, and 735.

the factors of 15 are 1, 3, 5, and 15.

hope that , fam!

-une, your fren : )