The y intercept (when x=0) is 40
the slope is 15 ( slope= rise/run= 15/1=15)
therefore, the equation of the line is y=15x+40
The best description of the curve of the given graph is called; A: Many to One Function
<h3>How to interpret function graphs?</h3>
A function is a relation in which each element is mapped to a single element i.e. no element is mapped to two different elements.
The given graph passes the vertical line test and as such we can say it is a function.
Also, the graph of a linear function is a straight line but the graph we are given is not a straight line and as such it is not a linear function.
Lastly, the graph does not passes the horizontal line test because between the interval from -1 to 0, the same value y-output is obtained many times and hence it is not a one-to-one function but a many to one function.
Read more about Function Graphs at; brainly.com/question/24335034
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Answer:
Freezer B has 8 more cubic feet than Freezer A.
Step-by-step explanation:
Volume of Freezer A = 8 * 4 * 2 = 64 ft^3.
Volume of Freezer B = 6 * 4 * 3 = 72 ft^3.
72 - 64 = 8 ft^3.
So solve for the equations of the lines
y=mx+b
m=slope
b=y intercept
line 1=
(-4,5)
(0,2)
(x,y)
slope=(y1-y2)/(x1-x2)
x1=-4
y1=5
x2=0
y2=2
subsitute
(5-2)/(-4-0)=3/-4=-3/4
slope=-3/4
subsitute
y=-3/4x+b
subsitute one of the points
(0,2)
x=0 and y=2 is one solution
2=-3/4(0)+b
2=0+b
2=b
the equation is y=-3/4x+2
other line
(0,5)
(4,2)
x1=0
y1=5
x2=4
y2=2
sybsitute
(5-2)/(0-4)=3/-4=-3/4
slope=-3/4
subsitute
y=-3/4x+b
now subsitute one of the points to solve for b
(0,5)
x=0 and y=5 is one solution
5=-3/4(0)+b
5=0+b
5=b
y=-3/4x+5
so we have the lines/equations
y=-3/4x+2 and y=-3/4x+5
(at this point we can see that since slopes are the same and the y intercepts are different, they are paralell and therefor have 0 solutions, but for those who don't know paralellline thingie read on)
solve for common (x,y)
y=-3/4x+2
y=-3/4x+5
subsitute
-3/4x+2=y=-3/4x+5
-3/4x+2=-3/4x+5
subtract 2 from both sides
-3/4x=-3/4x+5
add 3/4x to both sides
0=5
fasle
there are no solutions
the answer is A: 0 solutions
7-foot
EXPLANAT
Given:
14 foot tree
8foot shadow
4foot shadow
Let h be the height of a tee that casts a 4 foot long shadow.
Using proportion;
14 foot = 8 ft shadow
h = 4 ft shadow
Cross - multiply
8h = 56
Divide both-side by 8
h = 7 foot.
Hence, the tree is 7-foot.
