Mrs.pot and his kids has 45 minutes to get to the train it is 4:35 he has to pick up the kids
1 answer:
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Given:
The equation goes through the coordinates (6,5) and (-2,-5).
To find:
The values of A and B.
Solution:
We have,
It goes through the coordinates (6,5) and (-2,-5). It means these points will satisfy the equation.
...(i)
...(ii)
Adding (i) and (ii), we get
Divide both sides by 4.
Put A=5 in (i), we get
Divide both sides by 5.
Therefore, the values of A and B are 5 and -4 respectively.
From the linear function formed by the points given in the table, it is found that the x-intercept is of -14.
<h3>What is a linear function?</h3>A linear function is modeled by:
y = mx + b
In which:
- m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
- b is the y-intercept, which is the value of y when x = 0.
In this problem, when x increases by 20, y decays by 6, hence the slope is given by:
Then:
y = -0.3x + b.
When x = -54, y = 12, hence:
y = -0.3x + b
12 = -0.3(-54) + b.
b = -4.2.
Thus, the equation is:
y = -0.3x - 4.2.
The x-intercept is the value of x when y = 0, hence:
-0.3x - 4.2 = 0.
x = -4.2/0.3
x = -14
More can be learned about linear functions at brainly.com/question/24808124