Identify the correct function for the following sequence.
15, 22 , 29, 36 , ...

Step-by-step explanation:

22-15=7

f(x)=15+7(x-1)=8+7x

f(x) = 7x +8

Step-by-step explanation:

Explanation:

In order to find the equation you need to find the y-intercept of the sequence first. Since the first number is 15, the function should be a y-intercept of 8. This is because 15 is considered the second term in this situation. There is a common difference of 7, which means every x gains 7 for y. Here is the equation below.

Equation:

f(x) = 7x + 8

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.