Subjects algebra

Function Solution

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1. The problem asks us to find which ordered pair $(x, y)$ is a solution to the function $y = 2x + 5$. 2. The function rule means for any $x$, the corresponding $y$ is calculated by multiplying $x$ by 2 and then adding 5. 3. We test each ordered pair by substituting $x$ into the function and checking if the resulting $y$ matches the pair's $y$ value. 4. For A $(7, 1)$: Calculate $y = 2(7) + 5 = 14 + 5 = 19$. The pair has $y=1$, which does not match 19. 5. For B $(0, 5)$: Calculate $y = 2(0) + 5 = 0 + 5 = 5$. The pair has $y=5$, which matches. 6. For C $(-2, 9)$: Calculate $y = 2(-2) + 5 = -4 + 5 = 1$. The pair has $y=9$, which does not match 1. 7. For D $(0, 0)$: Calculate $y = 2(0) + 5 = 5$. The pair has $y=0$, which does not match 5. 8. Therefore, the only ordered pair that satisfies the function is B $(0, 5)$. Final answer: $(0, 5)$