Answer:
C.
The slope means that for every three rides, Brittany uses about 14 tickets.
Step-by-step explanation:
The given line of best-fit is
y = -4.64x + 47.6
Y-intercept is the point where x is zero. For the given equation y-intercept will be 47.6 or 48 rounded to nearest dollar. In other words, y-intercept is also a point where the line cross the y-axis.
From the given graph we can see that the y-axis shows the number of tickets purchased. The point where the line cross y-axis is about 48.
This tells us that Brittany had 48 tickets when she did not take any ride.
In this case, the slope of the line tells us that how many tickets were used for one ride, as x represents the number of rides. For one ride 4.64 tickets were, for 2 rides 2 x 4.64 = 9.28 tickets were used, for 3 rides 13.92 or around 14 tickets were used.
Now if we look at the given options we can easily say the option C is the correct answer.
Option A is not correct as it gives the opposite information than the actual one. Option B is also wrong, as x-intercept will tell us after how many rides the tickets will expire. Option D is wrong as y-intercept gives the number of tickets not the amount of money.
a) 62.855m
We will need to use the Pythagorean Theorem here, as we know a and c, but not b. I have attached an image of a triangle sketch to set up the problem, which should hopefully help us to visualize this problem a bit better.
Pythagorean Theorem: a^2 + b^2 = c^2
(19.8)^2 + b^2 = (65.9)^2
392.04 + b^2 = 4342.81
b^2 = 3950.77
b = 62.855 (rounded to 3 places)
b) m = 0.315
The gradient is also known as the slope. I've shown what the points would be in the image attached. Now that we know the value of b (x in the points in image), we can use points E and C to find the slope.
Point 1: (0,0)
Point 2: (62.855, 19.8)
m = (19.8 - 0) / (62.855 - 0)
m = 19.8 / 62.855
m = 0.315 (rounded to three places)
c) 17.485 degrees
The angle of inclination would be angle C. To find angle C, we will need to use an inverse trigonometry function. Any can be used since we know all of the side lengths, but I will show Sine here, opposite / hypotenuse.
sin(x) = 19.8 / 65.9
x = sin^-1 (19.8/65.9)
x = 17.485 degrees (rounded to 3 places)
Hope this helps!! :)
Answer:
7.86 is the answer
Step-by-step explanation:
30% of 24.50 is 7.35.
7.35+ 7% is 7.86
7.86 to the nearest cent is 7.86
Answer:
3/5
Step-by-step explanation:
