Question

Help bruuhh I hate math

Answer 1

Domain: [5, 8]

Range: [16.75, 25]

Explanation:

The Domain is the set of all possible input values. The input values are the x values. The problem states that Sy will order a minimum of 5 soap bars and a maximum of 8 bars. Therefore, the range of from 5 to 8 inclusive.

The range is the set of all possible output values. The range is dependent on the range. To find the range, put the minimum and maximum domain values in the equation:

y = 2.75x + 3 ; [5,8]

minimum range:

y = 2.75(5) + 3

y = 13.75 + 3

y = 16.75

maximum range:

y = 2.75(8) + 3

y = 22 + 3

y = 25

Therefore, the range of the function is [16.75, 25]. When Sy buys the minimum number of soap bars, 5, the cost is $16.75. When Sy buys the maximum number of soap bars, 8, the cost is $25.

Answer 2

In the given equation, y represents the total cost, and x represents the number of bars of soap ordered. You are told that Sy will order a minimum of 5 bars of soap and a maximum of 8 bars of soap. This information helps us determine the domain and range.

**Domain:** The domain is the set of all possible values for the independent variable (x), in this case, the number of bars of soap ordered. Sy will order a minimum of 5 bars and a maximum of 8 bars, so the domain can be expressed as:

Domain: 5 ≤ x ≤ 8

This means x can take any value between 5 and 8, including 5 and 8.

**Range:** The range is the set of all possible values for the dependent variable (y), in this case, the total cost. To find the range, you can use the equation:

y = 2.75x + 3

Now, you need to consider the minimum and maximum values of x within the given domain (5 to 8) and calculate the corresponding values of y:

1. For x = 5:

y = 2.75(5) + 3 = 13.75 + 3 = 16.75

2. For x = 8:

y = 2.75(8) + 3 = 22 + 3 = 25

So, within the specified domain, the range of y is:

Range: y

This means y can take any value between 16.75 and 25, including 16.75 and 25, corresponding to the minimum and maximum values of x in the given domain.