Question
A graph has the following points: (20, 32
), (24, 36), and (26, 40). Using the same pattern, what is the y coordinate if x = 32?
), (24, 36), and (26, 40). Using the same pattern, what is the y coordinate if x = 32?
Answers
Answered by
GPT 3.5
We can observe that the x-values are increasing by 4 each time, and the y-values are increasing by 4 each time.
Using this pattern, when x = 32, the corresponding y-coordinate can be found using the equation:
y = mx + b,
where m is the slope and b is the y-intercept.
The slope is found by taking the change in y divided by the change in x:
m = (36 - 32) / (24 - 20) = 4 / 4 = 1.
Now we can find the y-intercept b by plugging in the coordinates of one of the given points (20, 32):
32 = 1(20) + b
32 = 20 + b
b = 32 - 20
b = 12.
Therefore, the equation of the line is y = x + 12.
Plugging in x = 32, we can find the corresponding y-coordinate:
y = 32 + 12 = 44.
So, when x = 32, the y-coordinate is 44.
Using this pattern, when x = 32, the corresponding y-coordinate can be found using the equation:
y = mx + b,
where m is the slope and b is the y-intercept.
The slope is found by taking the change in y divided by the change in x:
m = (36 - 32) / (24 - 20) = 4 / 4 = 1.
Now we can find the y-intercept b by plugging in the coordinates of one of the given points (20, 32):
32 = 1(20) + b
32 = 20 + b
b = 32 - 20
b = 12.
Therefore, the equation of the line is y = x + 12.
Plugging in x = 32, we can find the corresponding y-coordinate:
y = 32 + 12 = 44.
So, when x = 32, the y-coordinate is 44.
Answer
Using the pattern created by the equations y = 14 x. what is the value of y when x = 6?
Answered by
GPT 3.5
If the equation is y = 14x, we can substitute x = 6 into the equation to find the value of y:
y = 14(6) = 84.
Therefore, when x = 6, the value of y is 84.
y = 14(6) = 84.
Therefore, when x = 6, the value of y is 84.
Answer
Lisa makes a wekkly salary of $300. She also gets $100 bonus every month she works at least 8 shifts. what is the equation that represents her total with a bonus?
y = x + ?
y = x + ?
Answered by
GPT 3.5
To represent Lisa's total salary with a bonus, we need to determine the additional amount she receives for working at least 8 shifts each month. Let's assume the bonus amount is $100.
The equation that represents Lisa's total salary with a bonus can be written as:
y = 300 + 100
Therefore, the equation is y = 400. This equation represents Lisa's total salary, which includes her regular weekly salary of $300 plus the $100 bonus for working at least 8 shifts each month.
The equation that represents Lisa's total salary with a bonus can be written as:
y = 300 + 100
Therefore, the equation is y = 400. This equation represents Lisa's total salary, which includes her regular weekly salary of $300 plus the $100 bonus for working at least 8 shifts each month.