Answer:
y = -328.275x + 1829.05
Step-by-step explanation:
In this case, we need to write an equation of this form:
y = ax + b (1) a: slope b: intercept
In order to calculate the slope, we need to use the following expression:
a = y₂ - y₁ / x₂ - x₁ (2)
So, we have two points here, so, from these points we can identify each of the elements so we can determine the slope.
Point 1: (2, 2485.6)
Point 2: (6, 1172.5)
The slope of this equation will be:
a = 1172.5 - 2485.6 / 6 - 2
a = -328.275
Now that we have the slope, to get the intercept "b", we just use any of the given points, and replace in the general equation (1) to solve for b:
2485.6 = -328.275(2) + b
b = 2485.6 - 656.55
b = 1829.05
With the value of a and b, we can write the general equation of the line for this:
<h2>
y = -328.275x + 1829.05</h2>
Hope this helps
Answer:
It would be A )6 powed by 2
Step-by-step explanation:
Answer:
3
Step-by-step explanation:
3.24 = 3 + .24
3 = 3 and .24 = 24/100
24/100 can be simplified to 6/25
Answer:
The table of values is attached.
The graph of the line shows that the points lie on the line.
Step-by-step explanation:
The equation of the line in Slope-Intercept form is:
Where "m" is the slope and "b" is the y-intercept.
Given the equation:
We can solve for the variable "y" in order to write in Slope-Intercept form:
The nex step is to give values to the variables "x", then substitute each value into the equation and evaluate, in order to find the correspondings values of "y".
With this values we can make the table attached.
We can identify the slope of the line and the y-intercept are:
Then we can graph it
Observe that the points lie on the line.
Answer:you would be charged $9.75 if you returned a book 65 days late
Step-by-step explanation:
The amount that the library charges when you return a book late is $0.15. If it is two days late, you are charged $0.30. It means that if it is a day late, the charge is 0.30/2 = $0.15. To determine how much you will be charged if you returned a book 65 days late, you will multiply the number of days by the amount charged for a day. It becomes
65 × 0.15 = $9.75