Question

Complete the table. In the row with x as the input, write a rule as an algebraic expression for the output. Then complete the last row of the table using the rule.

Input Output
Tickets Cost ($)
2 60
6 180
9 270
x
10

Answer 1

The algebraic expression for the relationship between tickets and cost is Cost = 30 × x. Using this rule, the cost for 10 tickets is calculated to be $300.

Step-by-step explanation:

The student needs to find a rule that represents the relationship between the number of tickets and the cost. Looking at the table, we notice that cost increases in a linear way as the number of tickets increases. Specifically, 2 tickets cost $60, 6 tickets cost $180, and 9 tickets cost $270.

We can determine the cost per ticket by dividing the cost by the number of tickets, which gives us $30 per ticket. Thus, the algebraic expression for the output (cost) in terms of the input (number of tickets x) is Cost = 30 × x. To find the cost for 10 tickets, we apply the rule: Cost = 30 × 10, which equals $300.

Answer 2

The algebraic expression for the input and output as , For input value as x then output value is 30 x .

Step-by-step explanation:

Given as :

The input of the table is Tickets

The output of the table is cost

So, From table

For 2 tickets, the cost is $ 60

For 6 tickets, the cost is $ 180

For 9 tickets, the cost is $ 270

So, The output is the function of input

I,e f(x) = 30 x

For x= 2 , f(2) = 30 × 2 = 60

For x= 6 , f(6) = 30 × 6 = 180

For x= 9 , f(9) = 30 × 9 = 270

For x = 10 , f(10) = 30 × 10 = 300

So, For input value as x then output value is 30 x

Hence The algebraic expression for the input and output as , For input value as x then output value is 30 x . Answer