Final answer:
To determine the missing table values and write an equation for the price based on the number of seconds, divide the total price by the number of seconds to find the rate, then multiply the rate by the number of seconds for the equation.
Step-by-step explanation:
The student's question involves determining the missing values in a table for data plans, based on a given rate and the price that corresponds to that rate. Given that Austin chose a plan offering 150s for $52.50, we can calculate the rate per s by dividing the total price by the number of s. This yields a rate of $52.50 / 150 = $0.35 per s. To fill in the missing values in the table and write an equation that represents the price P for the number of s, we use the formula: P = rate × s. For the given rates, the formulas would be as follows:
- For a rate of 0.35 cents per s, the equation is Price = 0.35x.
- For a rate of 0.25 cents per s, the equation is Price = 0.25x.
- For a rate of 0.40 cents per s, the equation is Price = 0.40x.
- For a rate of 0.30 cents per s, the equation is Price = 0.30x.