On a winter evening at sundown, a Kansas City news station reports that the temperature is −2∘F and will drop by 2∘F per hour until sunrise. At the same time, a Chicago news station reports that the temperature is 6∘F and will drop by 4∘F per hour.Which equation can you use to find h, the number of hours it will take the cities to reach the same temperature?Choices:(A) 2h−2=6h−4(B) −2−2h=6−4hHow long will it take for the cities to reach the same temperature?Simplify any fractions.____ hours
Q. On a winter evening at sundown, a Kansas City news station reports that the temperature is −2∘F and will drop by 2∘F per hour until sunrise. At the same time, a Chicago news station reports that the temperature is 6∘F and will drop by 4∘F per hour.Which equation can you use to find h, the number of hours it will take the cities to reach the same temperature?Choices:(A) 2h−2=6h−4(B) −2−2h=6−4hHow long will it take for the cities to reach the same temperature?Simplify any fractions.____ hours
Identify Equation: Identify the correct equation to represent the situation. Kansas City's temperature starts at −2°F and drops by 2°F per hour, so its temperature after h hours is −2−2h. Chicago's temperature starts at 6°F and drops by 4°F per hour, so its temperature after h hours is 6−4h. Set these equal to find when the temperatures are the same: −2−2h=6−4h.
Add 4h: Solve the equation −2−2h=6−4h. First, add 4h to both sides to get −2+2h=6.
Add 2: Next, add 2 to both sides to isolate the term with h: 2h=8.
Divide by 2: Finally, divide both sides by 2 to solve for h: h=28=4.
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