9
algebra

Which equation models a line that increases by 10% of its initial value of 50 for every unit of x?

A

y=5x+50y = 5x + 50

B

y=0.10x+50y = 0.10x + 50

C

y=50x+5y = 50x + 5

D

y=1.1x+50y = 1.1x + 50

Correct Answer: A

Choice A is the correct answer. Calculate slope.

  1. Initial: 50.
  2. Increase: 10%10\% of 50=550 = 5.
  3. Rate: 5 per unit x.
  4. Equation: y=5x+50y = 5x + 50.

💡 Strategic Tip: Don't confuse percent rate (exponential) with fixed amount based on percent of start (linear).

Choice B is incorrect because uses 0.10 directly. Choice C is incorrect because swaps. Choice D is incorrect because exponential-ish.