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krek1111 [17]
3 years ago
6

After a power failure, the temperature in a freezer Increased at an average rate of 3.5 °F per hour. The total Increase was 24.5

°F. Enter and solve an equation to find the number of hours until the power was restored. Let x represent the number of hours it takes for the temperature to increase to 24.5 °F.
The equation to find the number of hours until the power was restored is ____x = _____


The number of hours until the power was restored is ______ hours.

<Please fill in the blanks I will give you brainliest if you answer correctly>​
Mathematics
1 answer:
inna [77]3 years ago
8 0

Answer:

3.5x=24.5

3.5x7=24.5

X=7

Step-by-step explanation:

3.5 times what equals 24.5

3.5x1=3.5

3.5x2=7

3.5x3=10.5

Keep doing this and increase the number you are multiplying 3.5 by until your answer is 24.5.

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Answer:

That's all you're doing is writing the equation for two lines and finding out where they intersect. The slope is how much the price is increasing or decreasing and the y-intercept is where the price is starting at.

x = number of hours

y = mx + b = 0.12(x + 3) + 15.21     {It's (x + 3) because we have to add the 3 hours between 9 and noon}

y = mx + b = -0.11x + 15.96       {The slope is negative because the price is decreasing}

Set them equal to each other

0.12(x+3) + 15.21 = -0.11x + 15.96

Now solve for x

0.12x + 0.36 + 15.21 = -0.11x + 15.96

0.12x + 15.57 = -0.11x + 15.96

0.12x + 0.11x = 15.96 - 15.57

0.23x = 0.39

x = 0.38 / 0.23 = 1.7 hours

Convert 0.7 into minutes

0.7 hours * (60 min / 1 hour) = 42 min

So the prices are the same 1 hour and 42 min after noon, which is 1:42 PM

Step-by-step explanation:

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