The temperature at 8 was higher at each location than it was at noon.
Subtract the temperature at noon from the temperature at 8 for each location:
Location 1: 55 - 50 = 5
Location 2: 46-41 =5
Both temperatures increased by 5 degrees.
This means the answer would be:
B.
The changes were in the same direction and of the same magnitude.
It's a linear function with y-intercept = 12.
The slope-intercept form:
![f(x)=mx+b\\\\m=\dfrac{y_2-y_1}{x_2-x_1}](https://tex.z-dn.net/?f=f%28x%29%3Dmx%2Bb%5C%5C%5C%5Cm%3D%5Cdfrac%7By_2-y_1%7D%7Bx_2-x_1%7D)
Let's read the coordinates of two points on the graph:
(2, 15) and (4, 18)
Substitute to the formula of a slope:
![m=\dfrac{18-15}{4-2}=\dfrac{3}{2}=1.5](https://tex.z-dn.net/?f=m%3D%5Cdfrac%7B18-15%7D%7B4-2%7D%3D%5Cdfrac%7B3%7D%7B2%7D%3D1.5)
We have the equation of a line:
![\boxed{f(x)=1.5x+12}](https://tex.z-dn.net/?f=%5Cboxed%7Bf%28x%29%3D1.5x%2B12%7D)
We need calculate the value of function for x = 1 and x = 20.
Substitute:
![f(1)=1.5(1)+12=13.5](https://tex.z-dn.net/?f=f%281%29%3D1.5%281%29%2B12%3D13.5)
![f(20)=1.5(20)+12=30+12=42](https://tex.z-dn.net/?f=f%2820%29%3D1.5%2820%29%2B12%3D30%2B12%3D42)
$12 is the "Fixed Fee", therefore the discounted entrance fee to the art museum is
![\$13.50-\$12.00=\$1.50](https://tex.z-dn.net/?f=%5C%2413.50-%5C%2412.00%3D%5C%241.50)
The total cost is $42.00 after 20 visits.
<h3>Answer D.</h3>
All sides of a rhombus are equal.
So the triangle containing the marked angle 124 degrees is isosceles and the base angles x and z are equal.
So, because there are 180 degrees in a triangle.
x + z + 124 = 180
z + z + 124 = 180 ( because m < x = m < z)
2z = 180 -124 = 56
z = 56/2 = 28 degrees (answer).