The cost for children under twelve at a certain buffet restaurant is a base charge of a dollar plus twenty-five cents for each year of the child's age. Represent this cost as an expression, using y to stand for the child's age in years. Then use the expression to find the cost for a child who is nine.

Step-by-step explanation:

Given

of child's age

Solving (1):

Determine the cost function.

Represent the years as y.

So, we have:

* y

Convert 25 cents to dollars.

So, we have:

The cost amount is then:

--- This is the cost function

Solving (b): Cost of 9 years old.

In this case;

Substitute 9 for y in

--- This is the cost for a child of 9

heyyy

step-by-step explanation:

b. 6

step-by-step explanation:

we are given the table representing an exponential function.

we can see from the table that, as x is increasing, the value of y is increasing in the power of 6.

i.e. the following relation is obtained,

x = 1, y = 6

x = 2, y = 36 =

x = 3, y = 216 =

x = 4, y = 1296 =

x = 5, y = 7776 =

so, the geometric series obtained is .

thus, the common ratio is given by = = 6.

hence, the common ratio is 6.