Question

PLEASE HELP ME The cost of gasoline is $2.35 per gallon. The price per gallon increased an average of 4% per day over the period of a week. This can be modeled by the function G(t) = 2.35(1.04)t, where t is the number of days since Sunday. What would be the most appropriate domain of G(t)? (1 point)

Group of answer choices

0 ≤ t ≤ 1

0 ≤ t ≤ 7

2.35 ≤ t ≤ 2.45

2.35 ≤ t ≤ 3.09

Answer 1

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Answer:

(b) 0 ≤ t ≤ 7

Explanation:

The appropriate domain is the set of values of the independent variable (t) for which the function reasonably makes sense. We are told the model is of prices over a week, and that t represents the number of days since the beginning of the week.

It seems reasonable that the model is intended to apply to a period between t=0 (the beginning of the week) and t=7 (the end of the week). Thus the appropriate domain is ...

0 ≤ t ≤ 7