Functions can be modeled by equations, tables and graphs
- The equation that models the function is
- The domain of the function is the set of whole numbers
- The company should expect 4 box office gross in week 10
<h3>How to determine the function</h3>
From the question, we have the following ordered pairs
(x,y) = (0,1) and (4,2)
The function is a linear function.
So, we start by calculating the slope (m) using:
Substitute known values
The equation is then calculated as:
This gives
The domain of the above function is the set of whole numbers
Substitute 10 for x, to calculate the number of box office gross for week 10
Approximate
Hence, the company should expect 4 box office gross in week 10
Read more about linear functions at:
brainly.com/question/15602982
Using a system of equations, it is found that there are 10 baskets that hold 4 meals in the shop.
<h3>What is a system of equations?</h3>
A system of equations is when two or more variables are related, and equations are built to find the values of each variable.
In this problem, the variables are given by:
- Variable x: Number of baskets that hold 2 meals.
- Variable y: Number of baskets that hold 4 meals.
There are 25 baskets in the shop, hence:
x + y = 25 -> x = 25 - y
They can hold a total of 70 meals, hence:
2x + 4y = 70
2(25 - y) + 4y = 70
2y = 20
y = 10
There are 10 baskets that hold 4 meals in the shop.
More can be learned about a system of equations at brainly.com/question/24342899
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Answer:
1. 25
2. 7
Step-by-step explanation:
Let the variables be denoted as "x".
1. If 5 times "x" is increased by 50, the result is the same as when 200 is decreased by "x".
Set the equation:
5x + 50 = 200 - x
Isolate the x. Note the equal sign, what you do to one side, you do to the other. First, add x and subtract 50 from both sides:
5x (+ x) + 50 (-50) = 200 (-50) - x (+x)
5x + x = 200 - 50
6x = 150
Next, divide 6 from both sides of the equation:
(6x)/6 = (150)/6
x = 150/6 = 25
25 is your number.
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2. If 50 is decreased by 4 times "x", the result is 15 more than "x".
Set the equation:
50 - 4x = 15 + x
Isolate the x. Note the equal sign, what you do to one side, you do to the other. First, subtract x and subtract 50 from both sides:
50 (-50) - 4x (-x) = 15 (-50) + x (-x)
-4x - x = 15 - 50
-5x = -35
Divide -5 from both sides of the equation:
(-5x)/-5 = (-35)/-5
x = -35/-5 = 7
x = 7
7 is your number.
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Answer:
F. -5s = -47.5
Step-by-step explanation:
F. -5s = -47.5
s = -47.5 / -5
s = 9.5
This is the correct option
G. -3 + s = 12.5
s = 12.5 + 3
s = 15.5 (Incorrect option)
J. –1 + s = 10.5
s = 10.5 + 1
s = 11.5 (Incorrect option)
Equivalent in character ,form, or function:comparable
