Transitive property I believe
For this problem you need to understand that a linear graph is a straight line (Remember Rise/Run).
A continous function is <span>a </span>continuous function<span> is a </span>function <span>for which sufficiently small changes in the input result in arbitrarily small changes in the output, so we can already cross off that as an answer.
The Y-Intercept is the cost (in dollars), so this would be to monthly fee.
Now, onto the rate of change. T</span>he rate of change is <span>represented by the slope of a line. So the more classes you take the more it will increase. Therefore the cost for one class is the rate of change.
Lastly, the cost for one class is $10. It's not, since $10 is the intial fee to belong to a gym, so this is false.
Recap:
True
-The relationship is linear
-The y-intercept represents the monthly fee.
-The rate of change represents the cost for one class.
False
-The relationship represents a continuous function.
-The cost for one class is $10.
I hope I've helped you, have a great day!</span>
System of equations:
We'll need one equation for the amount of pizzas, and another for the total cost of the pizzas. In this case, x will represent small pizzas, and y will represent large pizzas.
3x + 4y = 100
x + y = 30
Solving the system of equations:
First, we need to solve for one variable in one equation.
x + y = 30
x = 30 - y
Then, we'll take our equation that is solved for x and plug it into the other equation from above.
3(30 - y) + 4y = 100
Next, we solve for y.
90 - 3y + 4y = 100
90 + y = 100
y = 10
Finally, we take our value for y and plug it back in to the very first equation and solve for x.
x = 30 - 10
x = 20
Answer:
The student has sold 10 large pizzas and 20 small pizzas.
Hope this helps!! :)
Answer:
Step-by-step explanation:
<u><em>The question with some background info added:</em></u>
- <em>When measuring the dimensions of a room a carpenter uses a tape measure that only displays a number of feet, L, on the metal tape. (The carpenter's tape measure does not display inches) </em>
- <em>Write an expression to determine the length of the room in units of 3 feet. </em>
<h3>Solution</h3>
Let the length of the room be L feet measured by the carpenter
<u>Then</u>
- L/3 = 1/3L would be measure of the length in units of 3 feet
Answer:
$14.39
Step-by-step explanation:
The formula for continuous compounding of interest is:
A = Pe^(rt), were P is the initial dollar amount, A is the final amount, r is the interest rate as a decimal fraction, and t is the time in years.
Here we have $2109 = $500e^(10r) and need to solve for r.
To do this, take the natural log of both sides, obtaining:
ln 2109 = ln 500+ 10r.
Then 10r = ln 2109 - ln 500, and
ln 2109 - ln 500
r = --------------------------------------------
10
= .1439
The interest rate was 14.39%.
