One afternoon, a news station in San Pablo reports that the temperature is 90∘F and will drop by 2∘F per hour. At the same time, a news station in Santa Rosa reports that the temperature is 97∘F and will drop by 4∘F per hour.Which equation can you use to find h, the number of hours it will take for the cities to reach the same temperature?Choices:(A) 90+2h=97−4h(B) 90−2h=97−4hHow long will it take for the cities to reach the same temperature?Simplify any fractions.____ hours
Q. One afternoon, a news station in San Pablo reports that the temperature is 90∘F and will drop by 2∘F per hour. At the same time, a news station in Santa Rosa reports that the temperature is 97∘F and will drop by 4∘F per hour.Which equation can you use to find h, the number of hours it will take for the cities to reach the same temperature?Choices:(A) 90+2h=97−4h(B) 90−2h=97−4hHow long will it take for the cities to reach the same temperature?Simplify any fractions.____ hours
Understand the problem: Understand the problem.We need to find the time h when the temperatures in San Pablo and Santa Rosa will be equal. San Pablo starts at 90°F and decreases by 2°F per hour, while Santa Rosa starts at 97°F and decreases by 4°F per hour.
Set up the equation: Set up the equation.Since the temperatures are decreasing, we should subtract the hourly change from the initial temperatures. The correct equation is the one that represents this situation.
Choose the correct equation: Choose the correct equation.The correct equation is (B) 90−2h=97−4h, because it shows the temperatures decreasing from their initial values by their respective rates per hour.
Solve the equation for h: Solve the equation for h.90−2h=97−4hAdd 4h to both sides to get all h terms on one side:90−2h+4h=97−4h+4h90+2h=97Subtract 90 from both sides to isolate the h terms:2h=97−902h=7Divide both sides by 2 to solve for h:4h14h2
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