The grade x of a hill is a measure of its steepness. For example, if a road rises 10 feet for every 100 feet of horizontal distance, then it has an uphill grade of x or 10%. Grades are typically kept quite small, usually less than 10%. The 10 braking distance D for a car travelling at 50 miles per hour (mph) on a wet uphill grade is given by the formula D(x)= 2500 30(0.3 + x) (a) Evaluate D(0.08) and interpret the result. Select the correct choice below and fill in the answer boxes to complete your choice. (Simplify your answer. Round to the nearest whole number as needed.) O A. D(0.08) = t; A car travelling at 50 mph on a wet uphill grade of 0.08 has a braking distance of aboutft. O B. D(0.08) = A car travelling at 50 mph on a wet uphill grade of has a braking distance of about 0.08 ft.

Q: Finbar bought his home for $150,000 in 2010. Property values have increased 10% every year since he…

A: Given, in 2010 Finbar bought his home $150,000 property value increase 10% every year, To find the…

Q: The following equation represents the relationship between hours of TV watched per day (x) and the…

A:

Q: Y=7600(1.262)x

A: We have the given function y=7600(1.262)x. We have to graph this function .

Q: Let y = cx2.97. By what factor must x be increased in order to quadruple the value of y?

A: Use the following properties of the exponential functions while solving this question. If and  ,…

Q: It is time to clean the water tank. The process requires draining a 75-gallon tank. To siphon the…

A: The objective of this question is to understand the relationship between the elapsed time and the…

Q: The coefficient of determination for the average low temperature (x) and the average monthly…

A: Given: Coefficient of determination r2=0.92

Q: The following equation represents the relationship between hours of TV watched per day (x) and the…

A: Given dataŷ = -0.944x + 24.52x is the hours of TV watched per dayŷ is the number of situpspredicting…

Q: a. If y = 1000(2-0.1x ), find the value of y whenx = 10.b. Use graphical or numerical methods to…

A: If y = 1000(2-0.1x ), find the value of y whenx = 10.

Q: The percent of a certain country's population that is foreign born is given by y = 0.003x -0.450x +…

A:

Q: An investment appreciates 2% per year. Originally $5000 is invested. What is an equation to model…

A: An investment appreciates 2% per year. Originally $5000 is invested what is an equation to modal…

Q: Solve for x: 3x te

A:

Q: (0.061)x (0.43)

A: The objective of this question is to find the product of 0.061 and 0.43.

Q: Given that the value of an investment in x years is given by S = 1900(1.02)4x, we want to find the…

A: Given that the value of an investmentwhere  is in yearshere need to find the amount in yearsthen…

Q: If a bullet from a pistol is fired straight up from the ground, its height t seconds after it is…

A: the bullet from a pistol is fired straight up from the ground, its height t seconds after it is…

Q: Find x correct to three decimal places where: alog₁0 (x) = b where a = 3.7 and b = 9.2

A:

Q: Acidity is measured on the pH scale. The acidity of a substance is given by pH=−logH, where H is the…

A: Since, acidity of a substance is given by:pH = − logH

Q: The population of a town is given by the equation  P = 1500(20.2t),   here t is the time in years

A:

Q: The following equation represents the relationship between hours of TV watched per day (x) and the…

A: We have to predict value..

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.