a sign says that the price marked on all music equipment is 30% off the original price you buy an electric guitar for sale price
1 answer:
The original price is $450.
<u>Step-by-step explanation:</u>
Step 1:
Given details, Discount%, D% = 30 and Selling Price, SP = $315
Step 2:
Write down formula for calculating the Original Price
Selling Price (SP) = Original Price (OP) - Discount (D)
Discount (D) = Original Price (OP) * (D%/100)
Step 3:
Substitute given values in the formula
315 = OP - D
D =
D = 0.3 OP
Step 4:
Substitute value of D in the first formula
315 = OP - 0.3 OP
315 = OP (1 - 0.3) = 0.7 OP
Original Price, OP = 315/0.7 = $450
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2) So, linear equation of line with slope of -1/2 and point (3,5) is
3) a) Slope = -1/2 and point is (4,3)
b) Slope intercept form is
c) Standard form is:
d) x-intercept is (14,0) and y-intercept is (0,7)
Step-by-step explanation:
1) Write an equation in point slope form to model the table.
The standard form of point slope form is:
Finding Slope m:
Slope can be find using:
where
Putting values:
So, slope is -55/4 and considering x₁= -2 y₁=20
Putting values in point-slope form:
So, Equation in Point Slope form is
2) Write a linear equation for the line having Slope = -1/2 and point (3,5)
We will use Point Slope form:
Putting values:
So, linear equation of line with slope of -1/2 and point (3,5) is
3)
a) identify the slope and point
The standard form of point slope form is:
So, Slope = -1/2 and point is (4,3)
b) Convert to slope intercept form
The slope-intercept form is:
Solving:
So, Slope intercept form is
c) Convert to standard form:
Standard form is : ax+by=c
Solving:
can be written as
So, Standard form is:
d) Find the intercepts
y-y_{1} = m(x-x_{1})
- For x-intercept set y=0
can be written as
x-intercept is (14,0)
- For y-intercept set x=0
y-intercept is (0,7)
So, x-intercept is (14,0) and y-intercept is (0,7)
Keywords: Point Slope Form
Learn more about Point Slope Form at:
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