The table shows a proportional relationship. What is the value of y when x = 29.4?
1 answer:
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Answer:
The correct options are;
The equation of the function is 2·y = -25·x + 200
The equation of the function is y = -25/2·x + 100
The x-intercept of the function is (8, 0)
Step-by-step explanation:
From the graph of the function, the y-intercept is observed at (0, 100), the x-intercept occurs at (8, 0)
Therefore, we have the slope, m given by the following relation
Where:
y₁ = 100
x₁ = 0
y₂ = 0
x₂ = 8
Which gives;
The equation in slope can be found as follows
y - 100 = -12.5×(x - 0)
y = -12.5·x + 100 = -25/2·x + 100
Multiplying by 2 gives;
2·y = -25·x + 200
25·x + 2·y = 200
Therefore, the correct options are;
The equation of the function is 2·y = -25·x + 200
The equation of the function is y = -25/2·x + 100
The x-intercept of the function is (8, 0).