a) The slope of the line relating Alyssa's sales to earnings is given by
slope = (change in earnings)/(change in sales)
Using the first two table entries, the slope is calculated as
slope = (110 -80)/(200 -10) = 30/200 = 0.15
The first entry in the table shows the y-intercept, the value of earnings (80) for zero sales. The slope-intercept form of the equation for a line is
y = slope*x + y-intercept
To answer the first question, we put the slope and intercept values in the appropriate spots in the equation.
The equation that gives Alyssa's daily earnings based on her total sales is
y = 0.15x +80
b) The y-intercept of the line represents the part of Alyssa's earnings that doesn't depend on sales. It is Alyssa's fixed daily wage.
c) The slope of the equation represents Alyssa's commission rate.
d) The y-intercept is 80.
Answer:
the maximum value is 7
The minimum value is 0
Step-by-step explanation:
Step One : Interpret the question
The above question can be written like
The Equation
The diagram of the triangular plate and the bounded lines is shown on the first uploaded image
From the diagram 
Partial differentiation of the equation w.r.x
Partial differentiation of the equation w.r.y
Looking at the diagram the maximum value is 7 i.e at (x , y) = (0,1)
The minimum value is 0 i.e (x , y) = (0,0)
Answer:
9.09
Step-by-step explanation:
x=speed of boat
y=speed of water current
Downstream relative speed = x+y
Upstream relative speed = x-y
Distance remains the same for both upstream and downstream.
a) Distance travelled downstream = speed x time = 3(x+y)
Distance travelled upstream = speed x time = 3.6(x-y)
b) Since both distances are equal, we can write
3(x+y)= 3.6(x-y)
3x+3y = 3.6x-3.6y
6.6y = 0,6x
x=11y: y=x/11
c) Water current has speed as 1/11 times of that of boat
In percent this equals 100/11 = 9.09%
Answer:
10
Step-by-step explanation:
The answer is 10 because there are 20 days and no home work is due on 7 of those days so that’s 13 days with homework from math or writing. Then you take the three days where it was just math and subtract that to get 10 days of writing.
