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Diana is a weather reporter for Nightly 9 News. Each week, she does a special segment called "Weather Around the World This week, she showed the relationship between latitude and January high temperatures. This scatter plot shows the data for some cities around the world. It also shows the line of best nt. The equation for the line of best fit is y=-x+84 According to the equation which of these statements is true? A city with a latitude of 0^circ N could expect to have a January high temperature of about 849F A city with a latitude of 40^circ N could expect to have a January high temperature of about 55^circ F

Question

Diana is a weather reporter for Nightly 9 News. Each week, she does a special segment called
"Weather Around the World This week, she showed the relationship between latitude and
January high temperatures. This scatter plot shows the data for some cities around the world.
It also shows the line of best nt.
The equation for the line of best fit is y=-x+84 According to the equation which of these
statements is true?
A city with a latitude of 0^circ N
could expect to have a January high temperature
of about 849F
A city with a latitude of 40^circ N could expect to have a January high
temperature of about 55^circ F

Diana is a weather reporter for Nightly 9 News. Each week, she does a special segment called "Weather Around the World This week, she showed the relationship between latitude and January high temperatures. This scatter plot shows the data for some cities around the world. It also shows the line of best nt. The equation for the line of best fit is y=-x+84 According to the equation which of these statements is true? A city with a latitude of 0^circ N could expect to have a January high temperature of about 849F A city with a latitude of 40^circ N could expect to have a January high temperature of about 55^circ F

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NormanProfessional · Tutor for 6 years

Answer

To determine the January high temperature for a city at a given latitude using the equation of the line of best fit, we simply need to plug the latitude value into the equation and solve for y, which represents the temperature in Fahrenheit.The equation given is \(y = -x + 84\).Let's solve for the two latitudes given in the statements:1. For a city at \(0^\circ N\) latitude: Plug \(x = 0\) into the equation: \(y = -0 + 84\) \(y = 84\) So, a city at \(0^\circ N\) could expect to have a January high temperature of about \(84^\circ F\).2. For a city at \(40^\circ N\) latitude: Plug \(x = 40\) into the equation: \(y = -40 + 84\) \(y = 44\) So, a city at \(40^\circ N\) could expect to have a January high temperature of about \(44^\circ F\), not \(55^\circ F\) as stated.Therefore, the true statement according to the equation is:A city with a latitude of \(0^\circ N\) could expect to have a January high temperature of about \(84^\circ F\).
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