Rewrite the following equation as a function of x;4𝑥−8𝑦+15=0Group of answer choices𝑓(𝑥)=(8𝑦−15)4𝑓(𝑥)=4𝑥8−15𝑓(𝑥)=(4𝑥+15)8𝑓(𝑥)=(4𝑥+15)−8𝑓(𝑥)=−4𝑥+158
Question
Rewrite the following equation as a function of x;
4x - 8y + 15 = 0
Group of answer choices
f(x) = \frac{8y - 15}{4}
f(x) = \frac{4x}{8} - 15
f(x) = \frac{(4x + 15)}{8}
f(x) = (4x + 15) - 8
f(x) = -\frac{4x + 15}{8}
Solution
To rewrite the equation 4x - 8y + 15 = 0 as a function of x, we first need to isolate y. Here are the steps:
- Start with the original equation: 4x - 8y + 15 = 0
- Subtract 4x and 15 from both sides to get: -8y = -4x - 15
- Divide every term by -8 to solve for y: y = 0.5x + 1.875
So, the function of x, f(x), is f(x) = 0.5x + 1.875.
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