Respuesta :
A function assigns the values. The value of x changes by 6.5, and the value of y changes by 13.
What is a Function?
A function assigns the value of each element of one set to the other specific element of another set.
Given that x and y vary together such that y = 2x+8. Also, the of x varies from x = 3 to x = 9.5. Therefore, we can write,
x change by = Maximum value of x - Minimum value of x
= 9.5 - 3
= 6.5
Further, the minimum and the maximum value of y will be when the value of x is minimum and maximum, this is because the function is linear. Therefore, we can write,
Minimum value of y, y = 2(3) - 8 = -2
Maximum value of y, y = 2(9.5) - 8 = 11
y change by = Maximum value of y - Minimum value of y
= 11 - (-2)
= 11 + 2
= 13
Hence, the value of x changes by 6.5, and the value of y changes by 13.
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