Question

which is the greatest value in the range of y= -4x + 15 for the domain {-3, -1, 0, 2} a) 23 b) 27 c) 15 d) 19 e) 31

Answer 1

The greatest value in the range of y= -4x + 15 for the given domain is 27. The correct answer is a) 23.

Step-by-step explanation:

To find the greatest value in the range of the given linear equation, we need to evaluate the equation for each value in the given domain and determine which value produces the highest result.

Let's substitute each value from the domain into the equation:

1. Substituting -3: y = -4(-3) + 15 = 27
2. Substituting -1: y = -4(-1) + 15 = 19
3. Substituting 0: y = -4(0) + 15 = 15
4. Substituting 2: y = -4(2) + 15 = 7

From the calculations, we can see that the greatest value in the range is 27, which corresponds to the domain value -3. Therefore, the correct answer is a) 23.

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