Terri is starting a babysitting service to make some extra money. She plans to charge a base fee of $10 plus $7 per hour. Write a function that could be used to represent her total charge for the babysitting service, y, as a function of the number of hours she babysits, x.

Given:

Terri plans to charge a base fee of $10 plus $7 per hour for babysitting.

To find:

The function that could be used to represent her total charge for the babysitting service, y, as a function of the number of hours she babysits, x.

Solution:

Let y be the total charge for the babysitting service for x hours.

Base fee = $10

Additional fee for one hour = $7

Additional fee for x hour = $7x

Total fee = Base fee + Additional fee for x hours

Therefore, the equation of required function is .

logv3(x+2)=1

rewrite in exponential form:

logb(x) = y is equal to b^y =x

b = 3, y = 1

now solve for x:

3^1 = x+2)

x = 3-2

x = 1

see the picture for the graph.

d. $180

step-by-step explanation:

if the dimensions of the room is 9ft by 12 ft, we have the area of the floor as,

so the area of the floor is 108 square feet, converting that into square yards we get,

the cost of carpet is $15 per square yard, therefore the cost of carpet for 12 square yards is,

hence, the cost of carpet is $180.

assuming the dimensions of the room be,

15 ft by 12 ft

so, the area of the floor of that room is,

we can convert 180 square feet into square yards, we know that,

1 sq ft = 0.111 sq yard

so, 180 square feet is,

so the area of floor is 20 square yards.

now, the cost of carpet is 15 dollars per square yard, therefore the cost of carpet for 20 square yards is,

so, it will cost $300.