Please Help me! Algebra 1

Option a: The number of bacteria at time x is 0.

Option b: An exponential function that represents the population is

Option c: The population after 10 minutes is 11534(app)

Explanation:

It is given that the coordinates of the graph are (0,200), (1,300) and (2, 450)

Option a: To determine the number of bacteria x when y = 200

From the graph, we can see that the line meets y = 200 when x = 0

Thus, the coordinates are (0,200)

Hence, the number of bacteria at time x is 0 when y = 200.

Option b: Now, we shall determine the exponential function of the population.

The general formula for exponential function is

Where a is the starting point and

b is the common difference.

To determine the common difference, let us divide,

Also,

Hence, the common difference is

Thus, substituting the values and in the formula ,

we have,

Hence, An exponential function that represents the population is

Option c: To determine the population after 10 minutes, let us substitute in , since the x represents the population of the bacteria in minutes.

Thus, we have,

Hence, the population after 10 minutes is 11534(app)

x = 25

step-by-step explanation:

a^2+b^2=c^2

7^2+24^2=c^2

49+576=625

sqrt625=25

x=25