Question

The amount of fresh water left in the tanks of a 19th century clipper ship is a linear function of the time since the ship left port, as shown in the table. Write an equation in slope intercept form that represents the function.

Answer 1

Answer:Down Below

Explanation:

To write a linear function in slope-intercept form, you need two pieces of information: the slope (m) and the y-intercept (b).

You have a table that relates the amount of fresh water (y) to the time since the ship left port (x). To find the slope, you can use two points from your table.

Let's assume you have a table like this:

Time (x) | Fresh Water (y)

----------------------------

0 | a

t | b

Now, you can calculate the slope (m) using the formula:

m = (change in y) / (change in x)

In this case, the change in y is b - a, and the change in x is t - 0. So:

m = (b - a) / t

Now, you can use this slope and one of the points (0, a) to write the equation in slope-intercept form (y = mx + b), where "b" is the y-intercept. So the equation becomes:

y = (b - a) / t * x + a

This equation represents the linear function that relates the amount of fresh water (y) to the time since the ship left port (x), based on the information in your table.