Respuesta :
The linear function that in which the sales would decrease twice as fast is:
f(t) = -1/2t + 11.3.
The change means that the sales would be 2 billion less in 2024.
What is a linear function?
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, and can also be interpreted as the initial value of the function.
In this problem, the function is:
f(t) = -1/4t + 11.3.
The function is decreasing, as it has a negative slope. To decrease twice as fast, the slope has to be multiplied by 2, hence the function would be:
f(t) = -1/2t + 11.3.
2024 is 8 years after 2016, hence, for both cases:
- f(t) = -1/4(8) + 11.3 = 9.3 billion sales.
- f(t) = -1/2(8) + 11.3 = 7.3 billion sales.
The change means that the sales would be 2 billion less in 2024.
More can be learned about linear functions at https://brainly.com/question/24808124
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