To determine when the coin will be worth $150, you can substitute 150 for y and solve for t. what value do you get for t when you do that?

5.23 years, the time at which the coin has increased in value to $150.

Step-by-step explanation:

Use the exponential function f(t) = 4*2^t.

Substitute $150 for f(t):  $150 = 4*2^t.

Simplify this by dividing both sides by 4:  $150/4 = 2^t, or $37.50 = 2^t.

Next, solve for the value of t.  To do this, take the common log of both sides, obtaining:

log 37.50 = t*log 2.  Thus, t = [log 37.50] / [log 2].  Evaluate this using a calculator:

t = 1.57403 / 0.30103 = 5.23 time units.  For example, this could be 5.23 years.

constant acceleration- a

constant velocity- c

no velocity or acceleration- b

explanation:

for body moving with a constant acceleration, the rate of change of displacement changes over time. this is proven by the increasing gradient of the curve (a) against time.

a body that is moving at constant velocity covers equal distances over equal periods of time, thus the straight line with a constant gradient c.

a stationary body   covers no displacement as time elapses. thus the flat line with   zero gradient.

2500

step-by-step explanation: