The graph represents function 1, and the equation represents function 2:
2 answers:
Answer:
Option D.
Step-by-step explanation:
The slope of a horizontal line is 0.
It is given that the function 1 is a horizontal line that passing through the y-axis at y = 4.
It means the rate of change of function 1 is 0.
The slope intercept form of a linear function is
.... (1)
where, m is slope and b is y-intercept.
The function 2 is
.... (2)
On comparing (1) and (2), we get
The rate of change of function 2 is 8.
The difference between rate of change is
The rate of change of function 2 is 8 more than the rate of change of function 1.
Therefore, the correct option is D.
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So,
The sand box's area is 45 ft.
The length is 4 feet longer than the width.
We can solve by translating these sentences into mathematical form.
Let l represent length and w represent width.
First equation: lw = 45
Second equation: l = 4 + w
Substitute 4 + w for l in the first equation.
(4 + w)w = 45
Distribute
Subtract 45 from both sides
Factor
Set both factors equal to zero.
w + 9 = 0
w - 5 = 0
Subtract 9 from both sides
w = -9
Add 5 to both sides
w = 5
We have to cross out -9 for the width, because, logically, it is impossible to have a negative width.
Substitute 5 for w in the second original equation.
l = 4 + (5)
l = 9
Check
5 * 9 = 45
45 = 45 This checks.
9 = 4 + 5
9 = 9 This also checks.
The length is 9 ft. and the width is 4 ft.
The sand box's area is 45 ft.
The length is 4 feet longer than the width.
We can solve by translating these sentences into mathematical form.
Let l represent length and w represent width.
First equation: lw = 45
Second equation: l = 4 + w
Substitute 4 + w for l in the first equation.
(4 + w)w = 45
Distribute
Subtract 45 from both sides
Factor
Set both factors equal to zero.
w + 9 = 0
w - 5 = 0
Subtract 9 from both sides
w = -9
Add 5 to both sides
w = 5
We have to cross out -9 for the width, because, logically, it is impossible to have a negative width.
Substitute 5 for w in the second original equation.
l = 4 + (5)
l = 9
Check
5 * 9 = 45
45 = 45 This checks.
9 = 4 + 5
9 = 9 This also checks.
The length is 9 ft. and the width is 4 ft.