A garden shop manager tracks the inventory of seed packets in the store for a month based on
the initial amount in the store and the number of purchases per week. The function
P(t) = -34t + 200 represents the number of seed packets remaining after t weeks.
What does 200 represent in the function P(t)?
O the y-intercept of the function and the number of seed packets purchased each week
the y-intercept of the function and the initial number of seed packets at the beginning of the
month
O the slope of the function and the number of seed packets purchased each week
O the slope of the function and the initial number of seed packets at the beginning of the month

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joaobezerra joaobezerra · Answer 1 · 2022-03-24T11:22:55+01:00

Using linear function concepts, it is found that the meaning of 200 in the function P(t) is given by:

the y-intercept of the function and the initial number of seed packets at the beginning of the month.

A linear function is modeled by:

[tex]y = mx + b[/tex]

In which:

m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.

b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value.

In this problem, the function is:

[tex]P(t) = -34t + 200[/tex].

The slope is of m = -34 and the y-intercept is of b = 200, hence the correct option is:

the y-intercept of the function and the initial number of seed packets at the beginning of the month.

More can be learned about linear function concepts at https://brainly.com/question/24808124