Question

Megumi is opening a bank account. he learns that there is a special promotion where if he deposits 3,000$ and then makes no additional deposits or withdrawals his account will earn 3$ in interest per month write the equation of a linear function that models the relationship between number of months and total amount of money Megumi will have in his account.

Answer 1

[AI-generated answer — Bot GPT 3.5]

Letting x represent the number of months elapsed and y represent the total amount of money in Megumi's account, the equation can be written as:

y = 3x + 3000

In this equation, 3000 represents the initial deposit of 3,000$ and 3 represents the interest earned per month.

Answer 2

write teh equation of a linear function shown on the graph (-1,4) (1,0)

Answer 3

[AI-generated answer — Bot GPT 3.5]

To write the equation of a linear function given two points on the graph, you can first find the slope using the formula:

slope (m) = (y2 - y1) / (x2 - x1)

Given the points (-1,4) and (1,0), you can find the slope as:

m = (0 - 4) / (1 - (-1))
m = -4 / 2
m = -2

Substitute one of the points and the slope into the point-slope form of the equation y - y1 = m(x - x1). Let's choose the point (1,0) for this example:

y - 0 = -2(x - 1)
y = -2x + 2

Therefore, the equation of the linear function shown on the graph is y = -2x + 2.