Answer:
The y-intercept of the equation is 100 and represents the initial studio-use fee.
Step-by-step explanation:
In this equation, our t variable (time) is the equivalent of the x-variable on a graph. This is because it is the variable that we 'change' to see its impact on y. We see how the amount of hours affects the price. So our P variable (price) is the equivalent of y on a graph. The y-intercept is where the line crosses the y-axis on a graph. At this point, x=0.
Since P is our y, and t is our x, to find the y-intercept, we simply need to make t = 0.
P = 50(0) + 100
P = 100
Therefore the y-intercept is 100.
In this context, t represents time, so even though the studio has been used for 0 hours, the price is still 100. This is because the 100 represents the initial studio-use fee, and using it for certain amounts of time adds onto the initial fee of $100. The hourly fee is represented by 50t so it costs $50 more for each hour of use.
Hope this helped!
Answer:
The maximum number of sandwiches she can buy is 24.
Step-by-step explanation:
We can create a function to represent the cost of her team's lunch in function of the number of people in the team. We have:
Since she needs to stay on budget, the cost has to be less or equal to 170, therefore:
Since she can't buy 0.8 sandwiches, the maximum number of sandwiches she can buy is 24.
Step-by-step explanation:
the answer is
About 50 inches
Answer:
So the answer for this case would be n=247 rounded up to the nearest integer
Step-by-step explanation:
We know that the standard deviation is :
represent the deviation
The margin of error is given by this formula:
(a)
And on this case we have that ME =25 and we are interested in order to find the value of n, if we solve n from equation (a) we got:
(b)
The critical value for 95% of confidence interval now can be founded using the normal distribution and the critical value would be 
, replacing into formula (b) we got:
So the answer for this case would be n=247 rounded up to the nearest integer
The relationship between the 6s in 6,600 value of the given digits
We write the numbers in place value chart
Thousand Hundreds Tens Ones
6 6 0 0
first 6 is in thousands place
next 6 is in hundreds place
6 thousand is 10 times greater than 6 hundred
6000 is 10 times greater than 600
