Missing part of question:
Jessica pays a flat rate of $20 for her cell phone and is charged $0.05 for every text she sends.
Answer:
20.00 + 0.05x < 50.00
Step-by-step explanation:
Given
Base Amount = $20
Rate = $0.05 per text
Budget = Less than $50.00
Required
Write an inequality that represents the scenario
Let x represents the number of texts
To solve this, the base amount when added to the amount paid for x text must be LESS THAN Jessica's budget.
Mathematically, we have:
Base Amount + Rate * x < Budget
Substitute values for Base Amount, Rate and Budget, this gives:.
20.00 + 0.05 * x < 50.00
20.00 + 0.05x < 50.00
Hence, the inequality that represents the scenario is 20.00 + 0.05x < 50.00
Solving further for x, we have:
20.00 + 0.05x < 50.00
Collect Like Terms
0.05x < 50.00 - 20.00
0.05x < 30.00
Solve for x
x < 30.00/0.05
x < 600
This means that she must send less than 600 text messages.
