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Jose is standing 9 feet east of a mailbox when he begins walking directly east of the mailbox at a constant speed of 6 feet per second. a. How far east is Jose from the mailbox 6 seconds after he started walking? b. Write a formula tha t expresses Jose's distance east of the mailbox (in feet), d, in terms of the number of seconds t since he started walking. (Hint: It will help to draw a diagram to represent Jose's distance east of the mailbox.) c. As Jose walks east of the mailbox, is his distance east of the mailbox proportional to the time elapsed since he started walking east of the mailbox? ONo, Jose's distance east of the mailbox (in feet) is always larger than the number of seconds elapsed since Jose started walking. Yes, Jose's distance east of the mailbox is related to the time elapsed since Jose started walking. ONo, Jose's distance east of the mailbox (in feet) is not always the same constant number of times as large as the number of seconds since Jose started walking. Yes, Jose's distance east of the mailbox (in feet) is always the same number of times as large as the number of seconds since Jose started walking

User Sole Galli
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Final answer:

Jose would be 36 feet east of the mailbox after 6 seconds. The formula to express Jose's distance east of the mailbox is 'd = 6t'. His distance east of the mailbox is proportional to the time elapsed since he started walking.

Step-by-step explanation:

a. After 6 seconds, Jose would be 36 feet east of the mailbox. This can be calculated by multiplying Jose's speed of 6 feet per second by the time of 6 seconds. 6 feet/second x 6 seconds = 36 feet.

b. The formula that expresses Jose's distance east of the mailbox in terms of the number of seconds since he started walking is 'd = 6t', where 'd' represents the distance in feet and 't' represents the time in seconds.

c. Yes, Jose's distance east of the mailbox is proportional to the time elapsed since he started walking. This is because his speed is constant at 6 feet per second, so for every second that passes, he will be 6 feet further east of the mailbox.

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User Bogardon
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