Question

evaluate $8j - k + 14$ when $j = 0.25$ and $k = 1$.

Explanation:

Step1: Substitute j and k values

Substitute \( j = 0.25 \) and \( k = 1 \) into the expression \( 8j - k + 14 \).
\( 8\times0.25 - 1 + 14 \)

Step2: Calculate 8×0.25

Calculate \( 8\times0.25 = 2 \).
\( 2 - 1 + 14 \)

Step3: Perform subtraction and addition

First, \( 2 - 1 = 1 \), then \( 1 + 14 = 15 \)? Wait, wait, no, wait, let's recalculate. Wait, 80.25 is 2, then 2 - 1 is 1, then 1 +14 is 15? But the given box has 17. Wait, maybe I made a mistake. Wait, no, let's check again. Wait, 8j -k +14. j=0.25, so 80.25=2. k=1. So 2 -1 +14. 2-1=1, 1+14=15. Wait, but the user's box has 17. Wait, maybe the user made a typo? Wait, no, maybe I misread the problem. Wait, the problem is 8j -k +14. j=0.25, k=1. So 80.25=2, 2 -1=1, 1+14=15. Wait, but the given answer is 17. Wait, maybe the problem is 8j +k +14? Let's check. If it's 8j +k +14, then 80.25=2, 2+1=3, 3+14=17. Oh, maybe a sign error. But according to the given problem, it's 8j -k +14. So let's do it correctly.

Wait, no, let's re-express:

Original expression: \( 8j - k + 14 \)

Substitute \( j = 0.25 \), \( k = 1 \):

\( 8(0.25) - 1 + 14 \)

Calculate \( 8(0.25) = 2 \)

Then \( 2 - 1 = 1 \)

Then \( 1 + 14 = 15 \)

So the correct answer should be 15, but the given box has 17. Maybe a mistake in the problem statement. But if we assume the problem is \( 8j + k + 14 \), then:

\( 8(0.25) + 1 + 14 = 2 + 1 + 14 = 17 \), which matches the box. So maybe there's a typo in the minus sign. But according to the given problem, it's minus k. So perhaps the user intended a plus sign.

But following the given problem:

Step1: Substitute j and k

Substitute \( j = 0.25 \), \( k = 1 \) into \( 8j - k + 14 \):
\( 8(0.25) - 1 + 14 \)

Step2: Compute \( 8(0.25) \)

\( 8 \times 0.25 = 2 \), so the expression becomes:
\( 2 - 1 + 14 \)

Step3: Simplify step - by - step

First, \( 2 - 1 = 1 \). Then, \( 1 + 14 = 15 \).

Answer:

15

(Note: If the problem was intended to have \( +k \) instead of \( -k \), the calculation would be \( 8(0.25)+1 + 14=2 + 1+14 = 17 \), matching the boxed number. There may be a typo in the sign.)