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kvasek [131]
3 years ago
9

the temperature started at -65 degrees. It decreased at a constant rate of 45 degrees every hour. What is the y-intercept (b) fo

r this situation?
Mathematics
1 answer:
Aleonysh [2.5K]3 years ago
7 0

The  y intercept for the given situation is y = -65

Step-by-step explanation:

Step 1 :

Given ,

The starting temperature = -65 degrees

Decrease of temperature every hour = 45 degrees

We need to find the y intercept for the situation

Step 2 :

Let x represent every hour and y represent the corresponding temperature at the hour

We can model the equation as

y = -65 - 45 x

Step 3 :

To find the y intercept we need to find the value of y when x = 0

Hence when x = 0 in the above equation, we have y = -65

The y-intercept as required for the given situation is y = -65

Step 4 :

Answer :

The required y intercept for the situation is y = -65

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Given the equation 5x − 4 = –2(3x + 2), solve for the variable. Explain each step and justify your process.
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A.
5x-4=-2(3x+2) \ \ \ \ \ \ \ \ \ |\hbox{expand the bracket} \\
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11x-4=-4 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ |\hbox{add 4 to both sides} \\
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B.
3(2x-4)=5x-1 \\
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\boxed{x=11} \Leftarrow \hbox{the second mistake}

Megan's solution isn't correct.
The first mistake: she subtracted 5x from the right-hand side of the equation, but added 5x to the left-hand side.
The second mistake: she divided the right-hand side of the equation by 11, but didn't divide the left-hand side.

The correct solution:
3(2x-4)=5x-1 \ \ \ \ \ \ \ \ \ \ \ |\hbox{expand the bracket} \\
3 \times 2x+3 \times (-4)=5x-1 \\ 6x-12=5x-1 \ \ \ \ \ \ \ \ \ \ \ \ \ \ |\hbox{subtract 5x from both sides} \\
x-12=-1 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \  |\hbox{add 12 to both sides} \\
x=11
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