Question

K(t) = 10t - 19. k(−7) = __________.

A) k(−7) = -89
B) k(−7) = -12
C) k(−7) = 51
D) k(−7) = 93

Answer 1

To find k(−7), we substitute -7 into the function k(t) = 10t - 19, giving us k(−7) = 10(−7) - 19, which simplifies to k(−7) = -89. Therefore, the correct answer is A) k(−7) = -89.

Step-by-step explanation:

To find k(−7), we substitute -7 into the function k(t) = 10t - 19, giving us k(−7) = 10(−7) - 19, which simplifies to k(−7) = -89.

The question asks us to find the value of k(−7) using the given function k(t) = 10t - 19. To do this, we substitute the value of t with -7.

Here is the calculation:

1. Replace t with -7 in the equation: k(−7) = 10(−7) - 19.
2. Multiply 10 by -7 to get -70: k(−7) = -70 - 19.
3. Add -70 and -19 to get -89: k(−7) = -89.

Therefore, the correct answer is A) k(−7) = -89. This calculation is a basic example of substituting a given value into a function and performing arithmetic operations.