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Misha Larkins [42]
3 years ago
11

the formula for converting Celsius temperature to Fahrenheit temperature is a linear equation. Water freezes at 0°C, or 32°F and

it boils at 100° C, or 212°F. Find the slope and y intercept for a graph that gives degrees Celsius on the horizontal azis and degrees Fahrenheit on the vertical axis. Then write an equation in slope intercept form that converts degrees Celsius into degrees Fahrenheit.
Mathematics
1 answer:
xxMikexx [17]3 years ago
3 0
F=32+1.8c. This is in slope intercept form, so 32 is the Y intercept, and the slope is 1.8(9/5).
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Step-by-step explanation:

It looks like the graph is of the function ...

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We know that (-4, 0) is one point on the graph. The other point of interest is at x=0, where y = √8 -2 ≈ 0.8284.

The average rate of change on the interval is then ...

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<em>Rougher estimate</em>

The graph goes through the points (-4, 0) and (1, 1), so has a slope of 1/5 = 0.2 on the interval [-4, 1]. We know the graph does not go through (0, 1), so the slope is not as high as 1/4 = 0.25. The curve is concave downward, so the average slope will be higher than 0.2, but we aren't sure how much higher.

A reasonable estimate of the rate of change on the interval is "a little more than 0.2, but less than 0.25."

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