Respuesta :
The line with slope m that contains the point (x1, y1) can be described by the equation
y − y1 = m(x − x1). In a real-world linear situation, you may have information that represents two points on the line. You can write an equation in point-slope form that represents the situation and use that equation to solve a problem.
Let x represent the number of days since the ship left port and y represent the number of gallons of water.
Two points on the line are (8,3240) and (1, 3555).
m =
3555 − 3240
1 − 8
=
315
−7
= −45
y − y1 = m(x − x1) Point-slope form.
y − 3555 = −45(x − 1) or y − 3240 = −45(x − 8)
y − 3555 = −45(60 − 1) Substitute for x.
y − 3555 = −2655 Simplify the right side.
y = 900 Solve for y.
900 gallons of water will be left after 60 days.
Hope this helped! (I didn't do it sooner cause I just did the quiz lol)
The equation of the function, in point-slope form, is given by:
[tex]y - 3555 = -45(x - 1)[/tex]
The amount of water left in the ship after 60 days is of 900 cubic units.
A line, in point-slope form, is represented by the following equation:
[tex]y - y_0 = m(x - x_0)[/tex]
In which:
- m is the slope, which is the rate of change.
- The point is [tex](x_0, y_0)[/tex].
We have two points: (1, 3555) and (8,3240).
- Taking the first point, [tex]x_0 = 1, y = 3555[/tex].
- The slope is given by change in y divided by change in x, thus:
[tex]m = \frac{3240 - 3555}{8 - 1} = -45[/tex]
Then
[tex]y - y_0 = m(x - x_0)[/tex]
[tex]y - 3555 = -45(x - 1)[/tex]
The amount after 60 days is y when x = 60, thus:
[tex]y - 3555 = -45(60 - 1)[/tex]
[tex]y = 900[/tex]
The amount of water left in the ship after 60 days is of 900 cubic units.
A similar problem is given at https://brainly.com/question/13967935
