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3 years ago

Based on the graph, which statement is correct about the solution to the system of equations for lines K and J?

Mathematics

2 answers:

Whitepunk [10]3 years ago

7 0

Your answer is A) (1,1) is the solution to both lines K and J

That's because the solution to a system of equations has to be the solution to both of the lines. Also, both of the lines intersect at the point (1,1).

german3 years ago

7 0

Look at the graph and look where the point lyes.
It lyes on 1,1. They intersect at 1,1.Your answer will be A.

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Emilio bought an ant farm that had 15 ants in it already. He read somewhere that

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The number of ants in his farm after 12 weeks is 218.

Step-by-step explanation:

Step 1:

It is given that there are 15 ants initially and the ant population increases by 25% each week.

This is an exponential rate of increase that can be modeled by the following equation:

Number of ants after n weeks = Initial number of ants * $(1 + rate of increase) ^{n}$

Step 2:

Rate of increase = 25% = 25 / 100 = 0.25

Number of weeks = 12

Number of ants after 12 weeks = 15* $(1 + 0.25 )^{12}$ = 218.27 (rounded off to 218)

Step 3:

Answer:

The number of ants in his farm after 12 weeks is 218.

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Isolate the variable by dividing each side by factors that don't contain the variable.

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The slope of the function for pronghorn antelope is 60.78 which infers that the rate of speed of the pronghorn is 60.78 miles per hour.

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Comparing this function with the general equation of a straight line

y = mx + c we can conclude that the slope of the function is 60.78 .

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