Question

A bakery produces 588 pastries in 6 hours. They plan to stay open for 10 hours and want to know how many pastries they can produce in that time. At this rate, which equation can be used to determine how many pastries, y, the bakery produces in x hours?

Answer 1

The equation to determine how many pastries, y, the bakery produces in x hours is y = 98 × x, assuming the rate of production is constant at 98 pastries per hour which is deduced from the given information (588 pastries in 6 hours).

Step-by-step explanation:

To determine how many pastries, y, the bakery produces in x hours, we can use a proportion based on the rate at which the pastries are produced. Given that the bakery produces 588 pastries in 6 hours, we can set up the following equation:

y = (pastries produced per hour) × x

First, find the rate of production per hour by dividing the number of pastries by the number of hours:

Rate = 588 pastries / 6 hours = 98 pastries/hour

Now, use this rate t create the equation:

y = 98 × x

This equation can be used to calculate the number of pastries produced in any given number of hours, x.