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:
a, f
Step-by-step explanation:
Answer:
They have the same slope
Step-by-step explanation:
The standard equation of a line in point-slope form is expressed as;
y-y0 = m(x-x0)
We can see that both equations given are written in this form with a slope of 1.2. For two lines to be equal, they must have the same slope no matter the point on the lines. Hence the two equations are equal since they have different slopes.
Answer:
135
Step-by-step explanation:
Okay so we know that all angles in tringle sums up to 180
Therefore ∠2 = 180 - ∠1 - ∠3 = 180 - 35 - 100 = 45deg
We also know that angles on a straight line add up to 180deg as well
Therefore ∠4 = 180 - ∠2 = 180 - 45 = 135deg
