Final answer:
To find the value of y for x=9.5 in a linear equation, substitute 9.5 for x and solve for y. Each of the given equations will give a different value for y after the substitution. Without the specific linear equation provided, we cannot determine the correct value of y for x=9.5.
Step-by-step explanation:
To determine the value of y when x=9.5 in the equation of a linear function, substitute the value of x into each given equation and solve for y.
- a) y=10x+2
- b) y=12x−1
- c) y=9.5x+5
- d) y=15x−7
For instance, applying x=9.5 to option a:
y = 10(9.5) + 2 = 95 + 2 = 97.
Repeat the process for options b, c, and d:
- b) y = 12(9.5) − 1 = 114 − 1 = 113
- c) y = 9.5(9.5) + 5 = 90.25 + 5 = 95.25
- d) y = 15(9.5) − 7 = 142.5 − 7 = 135.5
The values of y calculated from each equation are different, hence the question asks to choose the correct linear equation that would give the answer for a specific x value, which is not provided. To answer the student's question correctly, the specific linear equation from which to determine the value of y needs to be known.