Verified Answer :
Answer:
200 texts = same costs
Step-by-step explanation:
Plan A: 20 + (.05 x 200)
20 + 10 =30
Plan B 10 + (.10 x 200)
10 + 20 = 30
For text messages per month both the plans are of same cost, as per linear equation.
What is a linear equation?
"A linear equation is an equation in which the highest power of the variable is always 1. It is also known as a one-degree equation. The standard form of a linear equation in one variable is of the form Ax + B = 0. Here, 'x' is a variable, 'A' is a coefficient and 'B' is constant."
Let, for x text messages per month both the plans are of same cost.
Plan A costs $20 per month plus $0.05 per text.
Now, for the plan A with x text messages, the cost is:
$(20 + 0.05 × x)
= $(20 + 0.05x)
Plan B costs $10 per month plus $0.10 per text.
Now, for the plan A with x text messages, the cost is:
$(10 + 0.10 × x)
= $(10 + 0.10x)
Therefore, (20 + 0.05x) = (10 + 0.10x)
⇒ 0.10x - 0.05x = 20 - 10
⇒ 0.05x = 10
⇒ x = (10 ÷ 0.05)
⇒ x = 200
Therefore, for 200 text messages per month both plans are of same cost.
Learn more about linear equation here: https://brainly.com/question/2506989
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