0 –1 (0, –1)
1 4 (1, 4)
2 9 (2, 9)
A.
y = 5x – 1
B.
y = –3x + 3
C.
y = 3x – 4
D.
y = 3x + 3
–6
B.
–2
C.
D.
0
The distance from the safe zone after t seconds is .
Given
Rachel is a stunt driver.
One time during a gig where she escaped from a building about to explode she drove to get to the safe zone at 24 meters per second.
After 4 seconds of driving, she was 70 meters away from the safezone.
A linear function containing one dependent and one independent variable.
It is represented in the form of;
Where m is the slope.
Let, D(t) = the distance to the safe zone (measured in meters)
t = time (measured in seconds)
At seconds t = 4 seconds D(t1) = 70 meters
Rachel's rate is the slope of the function D(t). Since the distance is decreasing when the time is increasing, the slope must be negative.
Hence, the linear function expression is;
The value of b is;
Therefore, the distance from the safe zone after t seconds is .
To know more about the Linear function click the link given below.
Answer: The required function is,
D(t) = 166 - 4 t
Step-by-step explanation:
Here, the speed of the stunt driver = 24 meters per seconds,
⇒ The distance he will cover in 4 seconds = 24 × 4 = 96 meters
( Distance = speed × time )
According to the question,
The distance of the safe zone from the building where did he escape = 70 meters + The distance he covers in 4 seconds
= 70 + 96
= 166 meters
Hence, if he is driving with the constant speed of 24 meters per minutes,
Then, his distance from the safe zone after t seconds = 166 - 24 t
⇒ D(t) = 166 - 24 t
Which is the required function.
Answer:144
Step-by-step explanation:
The expression for the perimeter of the fabric is P = 16x+20. When x=2, the perimeter is 52.
To find the expression for the perimeter of the piece of fabric, we need to determine the length of each side of the fabric. The given expression for the area of the fabric is 16x^2+40x+25. We can factor this expression as (4x+5)^2. Since a square has all its sides equal, the length of each side of the fabric is 4x+5.
The perimeter of a square is given by the formula P = 4s, where s is the length of a side. Therefore, the expression for the perimeter of the fabric is P = 4(4x+5) = 16x+20.
To find the perimeter when x=2, we substitute x=2 into the expression for the perimeter: P = 16(2)+20 = 32+20 = 52.
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