1.)The number of mosquitoes M(x), in millions, in a certain area depends on the June rainfall x, in inches: M(x) = -x²Â + 15x. What rainfall produces the maximum number of mosquitoes? (This is a quadratic function. You can find the maximum/minimum of quadratic functions using algebra.)

{ANSWER FORMAT: Give the rainfall value rounded to one decimal place. Do NOT enter the units (inches)}

 

2.) Find the slope of the line passing through (-2, 7), and (-4, 12).

(ANSWER FORMAT: Write your answer as decimal rounded to one decimal place - no fractions. EX: 2.0, 3.8)

 

14.)

An engineer's salary in 2010 was $50,000 and 5 years later in the year 2015, her salary was $65,000. Let y represent her salary after x years on the job. Assuming that the change in her salary over time can be approximated by a straight line. Determine the slope of the line___________Determine the y-intercept of the line_____ Give an equation for this line in the form y = mx + b_____________ Finally, estimate the salary for the year 2018____________

 

30.) Write an equation for the line. Use slope-intercept form. Through (-13, 1), m = -4

y=___________x+___________

 

31.) When going more than 38 miles per hour, the gas mileage of a certain car fits the model; y= 41.44 - 0.405x , where x is the speed of the car in miles per hour and y is the miles per gallon of gasoline. Based on this model, at what speed will the car average 15 miles per gallon? (Round to nearest whole number.) Do NOT enter units. Just enter the number rounded to the nearest whole number.

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Status NEW Posted 10 Jul 2017 01:07 AM My Price 8.00

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