what percent is 18 out of 125?
11 answers
14.4%
y=32x −185
Using the equation what is the expected sales if the temperature is 18°?
Using the equation what is the expected sales if the temperature is 18°?
To find the expected sales when the temperature is 18°, you can plug in 18 for x in the equation y = 32x - 185.
y = 32(18) - 185
y = 576 - 185
y = 391
Therefore, the expected sales when the temperature is 18° is 391.
y = 32(18) - 185
y = 576 - 185
y = 391
Therefore, the expected sales when the temperature is 18° is 391.
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Write a linear equation in the form of y = mx + b for the following table.
x y
0 10
3 −7
6 −24
x y
0 10
3 −7
6 −24
To write a linear equation in the form of y = mx + b using the given table, we need to find the slope (m) and the y-intercept (b).
First, let's find the slope (m):
m = (change in y) / (change in x)
m = (-24 - 10) / (6 - 0)
m = (-34) / 6
m = -17/3
Now that we have the slope, let's find the y-intercept (b) using the point (x, y) = (0, 10):
y = mx + b
10 = (-17/3)(0) + b
b = 10
Therefore, the linear equation in the form of y = mx + b for the given table is:
y = (-17/3)x + 10
First, let's find the slope (m):
m = (change in y) / (change in x)
m = (-24 - 10) / (6 - 0)
m = (-34) / 6
m = -17/3
Now that we have the slope, let's find the y-intercept (b) using the point (x, y) = (0, 10):
y = mx + b
10 = (-17/3)(0) + b
b = 10
Therefore, the linear equation in the form of y = mx + b for the given table is:
y = (-17/3)x + 10
are there alternate ways to write the answer still using y=mx+b format?
Yes, there are alternate ways to write the linear equation in the form of y = mx + b. One way is to express the slope and y-intercept in terms of the given points as follows:
Given points: (0, 10), (6, -24)
Slope (m) = (change in y) / (change in x) = (-24 - 10) / (6 - 0) = -34 / 6 = -17 / 3
Now, plug the slope and one of the points (0, 10) into the equation y = mx + b to find the y-intercept (b):
10 = (-17/3)(0) + b
b = 10
Therefore, the linear equation can be written as:
y = -17x/3 + 10
You can also interpret the constant term (b) and the slope (m) as follows:
m = -17/3 (slope)
b = 10 (y-intercept)
Alternatively, you can keep the fraction format for the slope and rewrite the equation as:
y = -17x/3 + 10
Both forms are valid ways to express the linear equation using the y = mx + b format.
Given points: (0, 10), (6, -24)
Slope (m) = (change in y) / (change in x) = (-24 - 10) / (6 - 0) = -34 / 6 = -17 / 3
Now, plug the slope and one of the points (0, 10) into the equation y = mx + b to find the y-intercept (b):
10 = (-17/3)(0) + b
b = 10
Therefore, the linear equation can be written as:
y = -17x/3 + 10
You can also interpret the constant term (b) and the slope (m) as follows:
m = -17/3 (slope)
b = 10 (y-intercept)
Alternatively, you can keep the fraction format for the slope and rewrite the equation as:
y = -17x/3 + 10
Both forms are valid ways to express the linear equation using the y = mx + b format.
A ticket for the local fair costs $ 20 and each ride costs $ 3.50. Write an equation that represents the cost based upon the number of rides (x).
Let's use x to represent the number of rides and y to represent the total cost of the fair visit.
The cost of the fair visit consists of two parts: the cost of the ticket ($20) and the cost of each ride ($3.50 per ride).
The equation that represents the total cost (y) based on the number of rides (x) can be written as:
y = 20 + 3.50x
This equation accounts for the fixed cost of the ticket ($20) and the variable cost of each ride ($3.50 per ride).
The cost of the fair visit consists of two parts: the cost of the ticket ($20) and the cost of each ride ($3.50 per ride).
The equation that represents the total cost (y) based on the number of rides (x) can be written as:
y = 20 + 3.50x
This equation accounts for the fixed cost of the ticket ($20) and the variable cost of each ride ($3.50 per ride).
1 answer