A battery for an electric vehicle will provide a range of 5 miles for each battery, but for each battery the range of all the batteries is decreased by 0.3 miles because of the added weight. a) If it wasn’t for this decrease due to weight, the relationship between range and number of batteries would be linear. Write the formula for this linear relationship. b) now modify the linear case to the non-linear case and write the formula for range in terms of the number of batteries that includes the decrease due to weight. c) Find the maximum range for this vehicle design and the number of batteries that gives the maximum range.

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: Suppose that the world's current oil reserves is R= 2170 billion barrels. If, on average, the total…

A: Given that: Suppose the the world current oil reserves is R=2170 billion barrels. If, on average,…

Q: Suppose you spent $38.25 for 3 shirts that each cost the same amount. If the cost of the shirts…

A: Answer is mentioned below

Q: The variable x gives the number of fines ACME corporation accrues in pursuit of the perfect car. The…

A: Given data oints with x and y as shown below, where x  represents the number of fines of ACME…

Q: The relationship between the number of slices of pizza eaten and the number of calories consumed is…

A: The relationship between the number of slices of pizza eaten and the number of calories consumed is…

Q: Mark found that the daily demand for his company's new design of sunglasses was inversely…

A: The problem states that the daily demand for sunglasses is inversely proportional to the price. This…

Q: After about 9 hours of a steady 50-knot wind, the height of waves int he ocean was found to be 23…

A: Let y feet be the height of waves after x hours of a steady 50-knot wind. Then according to the…

Q: The manager of a furniture factory finds that it costs $2200 to manufacture 100 chairs in one day…

A:

Q: A new piece of farm equipment was purchased for an amount of B dollars. The value of this equipment…

A:

Q: if the input is hours and the output miles in a linear equation, the units of the rate of change…

A:

Q: The phone company Ringular has a monthly plan where a customer pays a flat monthly fee, and then a…

A: Let x denotes the number of monthly minutes used and y denotes the total monthly cost of the plan in…

Q: The human papillomavirus (HOV) is the most common sexully transmitted infection in the United…

A: Given:  Number of active cases present this year is 24 million and project number of new cases each…

Q: 4. Jamie has $1.65 to spend on bubble gum. Each stick of gum costs $0.15. a) Write an equation…

A:

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.