Answer:
$1025
Step-by-step explanation:
We can use the 2-point form of the equation of a line to write a function that gives Justin's salary as a function of his sales.
We start with (sales, salary) = (400, 500) and (700, 575)
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The 2-point form of the equation of a line is ...
y = (y2 -y1)/(x2 -x1)(x -x1) +y1
salary = (575 -500)/(700 -400)(sales -400) +500
salary = 75/300(sales -400) +500
For sales of 2500, this will be ...
salary = (1/4)(2500 -400) +500 = (2100/4) +500 = 1025
Justin's salary after selling $2500 in merchandise is $1025.
<span>The number sentence 4x7=(4x3)+(4x4) is an example of distributive property.
The distributive property states the following:
</span><span>a × (b + c) = a × b + a × c
</span>Multiplying <span>a sum by a number is the same as </span>multiplying<span> each addend by the number and then adding the products. </span>
In our case, a=4 b+c=7, b=3, c=4
Answer:
k= -8
Explaining:
Move variable to the left-hand side and change its sign.
2.25k - 6.5k - 20= 6.5k - 6.5k + 14
Since two opposites add up to zero, remove them from the expression.
2.25k - 6.5k - 20= 14
Collect like terms!
-4.25k = 14 + 20
Add the numbers
-4.25k = 35
Divide both sides of the equation by -4.25
So you will get the answer: k= -8
Slope intercept form is y = mx + b.
Y = coordinate y.
M = Slope
X = coordinate x.
B = y-intercept.
Slope formula: (y2-y1) / (x2-x1)
Plug in: (-1 - 7) / (4 - 2) = -4.
We can just insert the pair (2,7) as our x and y to solve b.
7 = -4(2) + b.
Solve for b.
7 = -8 + b.
-b = -8 -7
-b = -15
b = 15.
Original equation:
y = mx + b
y = -4x + 15
