Questions: The Speedy Max Taxi Company estimated, on the basis of collected data, that the number of taxi miles driven each day can be modeled by the function Q(L) = 435L^0.5, when they employ L drivers per day. (a) How many taxi miles are driven each day if there are 12 drivers employed? (b) Graph the function.

The Speedy Max Taxi Company estimated, on the basis of collected data, that the number of taxi miles driven each day can be modeled by the function Q(L) = 435L^0.5, when they employ L drivers per day. (a) How many taxi miles are driven each day if there are 12 drivers employed? (b) Graph the function.
Transcript text: The Speedy Max Taxi Company estimated, on the basis of collected data, that the number of taxi miles driven each day can be modeled by the function $Q(L)=435 L^{0.5}$, when they employ $L$ drivers per day. (a) How many taxi miles are driven each day if there are 12 drivers employed? (b) Graph the function.
failed

Solution

failed
failed

Solution Steps

Step 1: Calculate Taxi Miles for 12 Drivers

To find the number of taxi miles driven each day with 12 drivers, we use the function \( Q(L) = 435 L^{0.5} \).

Substitute \( L = 12 \):

\[ Q(12) = 435 \times 12^{0.5} \]

Calculate \( 12^{0.5} \):

\[ 12^{0.5} \approx 3.4641 \]

Now calculate \( Q(12) \):

\[ Q(12) = 435 \times 3.4641 \approx 1507.384 \]

Final Answer

The number of taxi miles driven each day with 12 drivers is approximately 1507.384 miles.

{"axisType": 3, "coordSystem": {"xmin": 0, "xmax": 20, "ymin": 0, "ymax": 2000}, "commands": ["y = 435x**0.5"], "latex_expressions": ["$Q(L) = 435L^{0.5}$"]}

Was this solution helpful?
failed
Unhelpful
failed
Helpful

Questions asked by other users

failedAnswered
Exponential and Logarithmic Functions Graphing a logarithmic function: Basic Graph the logarithmic function. g(x)=log(1 / 2) x Plot two points on the graph of the function, and also draw the asymptote. Then click on the graph-a-function button.
failedAnswered
Multiple Select Question Select all that apply Which of the following are key nutrients required for the synthesis, maintenance, and repair of bones? More than one answer may be correct. riboflavin calcium phosphorus magnesium vitamin D
failedAnswered
Part B = Enzyme function and pH Enzymes function best when they are in specific environments. Temperature and pH are two environmental conditions that can have significant impacts on enzyme function. For now, you will focus on proteases, enzymes that break down proteins into their component annino acids. Pepsin is a protease that is found primarily in the stomach of mammals where it helps digest proteins present in food 1. Reset the simulation to its defaul settings. Note the initial amount of proteins in the solution and the color of the tube with the biuret solution indicator. 2. In the Enrymes section of the simulation, select "Add Pepsin." 3. The delault pH is 7. Run the simulation at pH 7 and make a note of the amount of amino acids produced after 20 minutes and the color of the tost tube. 4. Next, run the simulation at pH 5 and note the concentration of amino acids atter 20 minutes. Also note the color of the lest tube 5. Run the simulation at pH 2 and at pH 12 . Pay aftention to how the concentration of amino acids produced varies with pH . At which pH did pepsin function the best? in other words, at which pH were the most amino acids produced after 20 minutes? Pepsin functioned best at pH 2 . Pepsin functioned best at pH 5. Pepsin functioned best at pH 7 . Pepsin functioned best at pH 12 . Submit Bequest Ansintr
failedAnswered
How much horsepower is required to rotate a shaft load of 1,500 lb . ft at 10 rpm for ten seconds 28.6 hp 2.86 hp 0.286 hp None of the Above
failedAnswered
How many significant figures are in the following number? 823.012