You are playing paintball with a friend who is standing 25 m away from you. You shoot at her and miss. The paintball has a horizontal velocity of 150 m
per second. Which of the following sequences describes the distances of the
ball from you (in meters) at intervals of one-tenth of a second, starting when
it swooshes by her?
O A. 15, 25, 35, 45, 55, ...
B. 150, 300, 450, 600, 750, ...
O C. 15, 30, 45, 60, 75, ...
O D. 25, 175, 325, 475, 625, ...
O E. 25, 40, 55, 70, 85, ...

y - y1 = m(x- x1)

y - (-5) = 2/3(x -0)

y + 5 = 2/3x

y = 2/3x - 5

a - base

b - exponent

so,

the answer is:

the correct option:

b.

to solve the problem, we need to remember how to operate to simplify exponential expressions using the logarithms.

we are given the equation:

then, using placing logarith with base 7 on both sides of the equation, we have:

so, rounding the obtained result to two decimal places (nearest hundreth), we have:

hence, we have that the correct option:

b.

have a nice day!