A true/false test has 6 questions. If a student were to guess the answer to
2 answers:
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PART A
To form the equation to represent total rent, we first need to establish the changing rate and the fixed cost. Changing rate is the fee for every one day the car is rented and fixed cost is the initial cost of the car rental.
To find the changing rate we divide the cost difference between two days by the difference of days
We have
$180 = 4 days
$ 325 = 9 days
The changing rate is
The table below shows the working out of the price for each day the car is rented. We work out that day 0 cost $63 which means this is the fixed cost
Hence, the equation of total cost is
, where 
is the total cost and 
is the number of days
PART B:
Using the function notation means we will use
instead of , so the equation is
PART C:
To graph the function, we first need to set the scales on the x-axes and y-axes.
The scale on x-axes could go up in ones but must start from 0
The scale on y-axes, since it is much bigger values, we can go up in 50
We then plot on the graph for each pair of days and cost. The plots should give us a straight line graph
One example of the graph is shown below
To form the equation to represent total rent, we first need to establish the changing rate and the fixed cost. Changing rate is the fee for every one day the car is rented and fixed cost is the initial cost of the car rental.
To find the changing rate we divide the cost difference between two days by the difference of days
We have
$180 = 4 days
$ 325 = 9 days
The changing rate is
The table below shows the working out of the price for each day the car is rented. We work out that day 0 cost $63 which means this is the fixed cost
Hence, the equation of total cost is
PART B:
Using the function notation means we will use
PART C:
To graph the function, we first need to set the scales on the x-axes and y-axes.
The scale on x-axes could go up in ones but must start from 0
The scale on y-axes, since it is much bigger values, we can go up in 50
We then plot on the graph for each pair of days and cost. The plots should give us a straight line graph
One example of the graph is shown below
Answer:
Where represent the half life and the intial amount would be
And we want to find the time in order to have a 95% of decay so we can set up the following equation:
If we apply natural log on both sides we got:
And solving for t we got:
So then would takes about 14.26 hours in order to have 95% of the lead to decay
Step-by-step explanation:
For this case we can define the variable of interest amount of Pb209 and for the half life would be given:
Where represent the half life and the intial amount would be
And we want to find the time in order to have a 95% of decay so we can set up the following equation:
If we apply natural log on both sides we got:
And solving for t we got:
So then would takes about 14.26 hours in order to have 95% of the lead to decay
Question:
Madison and Allie have a goal to read 3,300 pages together by the end of 3rd quarter. Madison reads 50 page every day Allie reads 10 more pages every day than Madison reads. Write and solve an equation to show how many days it will take them to read 3,300 pages
Answer:
It will take 30 days for them to read 3,300 pages
Step-by-step explanation:
Given:
The total number of pages to be read = 3300 pages
Number of pages Madison reads = 50 page every day
Number of pages Allie reads = 1 0 more pages every day than Madison reads
To Find:
Total Number of days needed to read 3300 pages = ?
Solution:
Let the number days they will take be x
then
Number of pages Madison read per day (x) + Number of pages Allie read per day(x) = 3300
(50)x + (50 +10) x = 3300
50x + 60x = 3300
110x = 5500
x =
x = 30