If the temperature outside is 86°F, the heat index can be found using the equation y = 0.004x2 − 0.1243x + 84.028. This equation is also the curve of best fit for the values in the table. In the equation, x represents the relative humidity and y represents the heat index. Relative Humidity Heat Index 40% 85°F 55% 89°F 75% 97°F 90% 105°F 100% 112°F Using the curve of best fit, if the current temperature is 86°F and the relative humidity is 55%, what is the heat index? Round the answer to the nearest degree. A. 78°F B. 88°F C. 89°F D. 90°F

step-by-step explanation:

y = | -2(-2) |     →     y = | 4 |     →     y = 4       ⇒   (-2, 4)

y = | -2(-1) |     →     y = | 2 |     →       y =   2       ⇒   (-1, 2)    

y = | -2(0) |     →     y = | 0 |     →       y = 0         ⇒   (0, 0)

y = | -2(1) |   c →     y = | -2 |     →     y =   2         ⇒   (1, 2)    

y = | -2(2) |     →     y = | - 4 |     →     y =   4         ⇒   (2, 4)  

the system of inequalities is

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

the equation of the dashed line is

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

the equation of the solid line is

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

step 3

the system of inequalities is

35 is an outlier

step-by-step explanation: