Nancy is given a problem in her math class. In order to solve the problem, she must find the product of two numbers. The first number

is 14 minus x, and the second number is 19 more than 7 times the first number

Which of the following functions represents the product of the two numbers?

1540 - 110x

Step-by-step explanation:

Let the two numbers be represented by a and b

Therefore, a = 14 - x

b = 7a + 19

from a = 14 - x, we can substitute a into b

Therefore b = 7a + 19 is the same as

b = 7 (14 - x) + 19

b = 98 - 7x + 19

b = 117 - 7x

for the product of the two number

ab = (14 - x) (117 - 7x)

= 1638 - 98x - 117x + 7x

= 1540 - 110x