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!
How to comparan? Not sure
Common denominator = 40
36/40 + 20/40 = 56/40
Reduce and simplify=
7/5, which is 1 and 2/5
Hope that helps
The practical domain is all real numbers from 4 to 9, inclusive.
The practical range is all real numbers from 49.6 to 111.6, inclusive.
These are the correct options.
Explanation:
Given function is f(t) = 12.4t
Let us assume that Nate works 'x' hours so 4<x<9
And multiplying the hours with his earnings we get the range.
4*12.40=49.6 and 9*12.40=111.6. Let the amount earned be represented by y
Hence, domain can be represented as 4<x<9 and range can be represented as 49.6 < y < 111.6
The formula is L*W*D, right?
So for the cube, since all sides are equal then the Length, Width and Depth would all be 8 unless otherwise specified. 8*8*8=512
The rectangle would be 10*2*3&1/2 or 10*2*3.5=70
I hope this is correct but if you want check my work with a calculator to make sure.
