Answer:
c
Step-by-step explanation:
Answer:
y = (4/3)x - 50
Step-by-step explanation:
Step 1 :
Identify the independent and dependent variables.
The independent variable (x) is the square footage of floor space.
The dependent variable (y) is the monthly rent.
Step 2 :
Write the information given in the problem as ordered pairs.
The rent for 600 square feet of floor space is $750 :
(600, 750)
The rent for 900 square feet of floor space is $1150 :
(900, 1150)
Step 3 :
Find the slope.
m = (y₂ - y₁) / (x₂ - x₁)
Substitute (600, 750) for (x₁, y₁) and (900, 1150) for (x₂, y₂).
m = (1150 - 750) / (900 - 600)
m = 400 / 300
m = 4/3
Step 4 :
Find the y-intercept.
Use the slope 4/3 and one of the ordered pairs (600, 750).
Slope-intercept form :
y = mx + b
Plug m = 4/3, x = 600 and y = 750.
750 = (4/3)(600) + b
750 = (4)(200) + b
750 = 800 + b
-50 = b
Step 5 :
Substitute the slope and y-intercept.
Slope-intercept form
y = mx + b
Plug m = 4/3 and b = -50
y = (4/3)x + (-50)
y = (4/3)x - 50
Answer:
multiply by 2
Step-by-step explanation:
Since the functions are not included, I can help you with some examples and a general explanations which will help you to solve this kind of problems.
1) Assumption: all the functions that are considered are linear.
That means that f(x) = x is the parent function, and you can obtain the other functions by a set of transformations (translation and scalation) of the parent function.
2) Example 1: y = x + a
This is a special case of adding a constant to the function.
In this case, the graph of the new function is the graph of the parent function shifted a units upward.
3) Example: y = 5x
This is a special case of multiplying the function times a constant.
The result is streching the graph vertically by the same scale factor.
4) Example: y = (1/5)x - 8
In this case, the graph of y is obtained by scaling the parent function f(x) = x by 1/5 (which results in compressing the parent function vertically) and shifting the parent function 8 units downward.
Since this is a multiplication problem, we need to find the product. The product is 468. If you can't multiply, you can do 52 + 52 + 52 + 52 + 52 +52 + 52 + 52 + 52 and you still get 468.
Hope this Helps! :)
