Answer :
Answer:
y = x + 2.25
Step-by-step explanation:
First information: admission and 6 samples cost $8.25:
8.25 = 6a + b
Second information: admission and 8 samples cost $10.25:
10.25 = 8a + b
{6a + b = 8.25
{8a + b = 10.25
{- 6a - b = - 8.25
{8a + b = 10.25
-------------------------
2a = 2
a = 1
6a + b = 8.25
6.1 + b = 8.25
b = 8.25 - 6
b = 2.25
The linear function rule is:
y = x + 2.25
I hope I've helped you.
The linear function rule to model the cost y for any number of samples x is (y = x + 2.25) and this can be determined by forming the linear equation.
Given :
- An international food festival charges for admission and for each sample of food.
- Admission and 6 samples cost $8.25.
- Admission and 8 samples cost $10.25.
The following steps can be used in order to determine the linear function rule to model the cost y for any number of samples x:
Step 1 - The linear equation is formed in order to determine the linear function.
Step 2 - The linear equation that represents the situation "admission and 6 samples cost $8.25" is:
8.25 - 6c = d --- (1)
Step 3 - The linear equation that represents the situation "admission and 8 samples cost $10.25" is:
10.25 = 8c + d --- (2)
Step 4 - Substitute the value of 'd' in equation (2).
10.25 = 8c + 8.25 - 6c
2 = 2c
c = 1
Step 5 - Substitute the value of 'c' in the equation (1).
d = 8.25 - 6
d = 2.25
Step 6 - So, the linear function rule to model the cost y for any number of samples x is:
y = x + 2.25
For more information, refer to the link given below:
https://brainly.com/question/2564656