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)

solution:

as, mean is defined as sum of all the observations divided by total number of observations.

and , median is mid value of the data whether arranged in ascending order or descending order.

consider, roadsters:

2,3,4,5,6,7,8,9

mean =

also, median= , because number of observations is even, so median is mean of two mid values.

now, coming to bandits

2,3,4,5,6

mean =  

median = 4, as number of observations is odd.

so, roadsters has greater median as well mean than bandits.

→option a is true about the repairs performed on 2 types of cars:

bandits have lower median and mean than roadsters.

answer for #1 is c

answer for #2 is d

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