Q.3: the function describing the marginal cost (in dollars) of producing a product is MC = 8ßx +800N Where x equals the no of units produced. It is known that cost equals $70000 when 45 units are produced. Determine the total cos function.

Q: 6. If P(t) is the carbon emissions rate for the US, with P(t) measured in GT/year. Select the…

A: To determine the appropriate function and units for each scenario, let us analyze each part: a. This…

Q: oblem: After being built, a car must be painted. The revenue, R, in dollars when x cars are painted…

A: In this question, concept of average and instantaneous change is applied. Using the slope formula…

Q: 7. As you travel from Detroit in a certain direction, the outside temperature, T (in degrees),…

A: To find the solutions

Q: The profit function for selling x units of a product is P = - 0.01x² +100 x +600. The dP company…

A: Hey, since there are multiple questions posted, we will answer first question. If you want any…

Q: If ƒ (2) = 2.5 and f'(2) = −2.5, then ƒ(2.5) is approximately: OA. -2 OB. 1.25 OC. 2 OD. 2.5 O…

A:

Q: 2. From 2007 to 2014, there was a dramatic increase of smartphone sales. The number of smartphones…

A: Given:- The number of smartphones in millions sold to end users from 2007 to 2014 is modeled by the…

Q: Problem: After being built, a car must be painted. The revenue, R, in dollars, when x cars are…

A: Given revenue function is  R(x)=1000x-0.01x2

Q: J 2. Use the method shown in this lesson. For the function X a. Find the Average Rate of Change b.…

A: Need to find out the average rate of change for the given function in the given interval.

Q: 3. A Ferris wheel of diameter 18.5 m rotates at a rate of 0.2 rad/s. If passengers board the lowest…

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Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as: