I need a little help with the second part of b and part c! + can y'all check my explanations please
1 answer:
Answer:
b. Your answer is appropriate.
c. The decimals can be eliminated by multiplying by 100. (You can also add 0.14 to the problem, adding .01 to each individual price and 0.14 to the total. This will make the second equation be 12x +25y = 246, which makes the numbers slightly easier to work with.) Unfortunately, there don't seem to be any common factors that would reduce the size of the numbers.
Step-by-step explanation:
a. We assume you're finding quantities of shirts and pants for a purchase of 14 total items costing $245.86. If so, your equations are appropriate.
b. The solution for one variable or the other can be found in 6 arithmetic operations using your suggested method. Any other method takes as many or more. (Multiplying the first equation by -11.99 and adding to the second gets you the equivalent of substituting for x in as many operations.)
Graphing can be quick and easy with the right tool. Since you know the solutions are integers, just about any graphing tool will get you close enough.
Another method (using only 5 arithmetic operations) is to calculate the average price of an item as 245.86/14, then figuring the ratio of the difference from the lower price to the total difference in price. Multiplying this ratio by the number of items gives the number of the higher-priced item (pants). (245.86/14 -11.99)/(24.99 -11.99)·14 = 6 This method treats the problem as a "mixture" problem, finding the numbers of each consitutuent that make the average come out what it is.
c. See above for how to simplify the numbers. Done properly, the answer is not changed. (Some people don't work well with decimals or fractions, so like to see those eliminated from the problem. Some folks work better with small integers than with large ones, so like to see the numbers be made as small as possible.)
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Question is Incomplete; Complete question is given below;
Marlene rides her bike at a rate of 16 miles per hour. The time in hours that she rides is represented by the variable t, and the distance she rides is represented by the variable d. Which statements are true of the scenario? Check all that apply.
a. The independent variable, the input, is the variable d, representing distance.
b. The distance traveled depends on the amount of time Marlene rides her bike.
c. The initial value of the scenario is 16 miles per hour.
d. The equation t = d + 16 represents the scenario.
e. The function f(t) = 16t represents the scenario.
Answer:
OPTION (b) and (e) are the true statements.
Step-by-step explanation:
Given:
time in hours that she rides
distance she rides
We have to find the statements that are true of the scenario.
Solution:
The equation itself is a linear equation which presents an equation's scenario and time (t) is a independent variable and distance (d) is a dependent variable.
Equation for distance according to function is
Here, we can use graph tool, you can see the attested image below.
Function's domain is the interval⇒ [0,∞)
Function's range is the interval⇒ [0,∞)
The statements which are TRUE are explained below :
b) The distance traveled depends on the amount of time Marlene rides her bike
It is true because as explained above that equation for distance according to function is
e) The function f(t) = 16t represents the scenario.
It is true because as explained that the scenario has been represented by the function above that
* The statement (a) is false because the variable t is the independent variable.
* The statement (c) is false because is been represented as the slope or the rate of the linear equation.
* The statement (d) is false because donot represents the scenario.
