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3 years ago

Given f(x) and g(x) = k.f(x), use the graph to determine the value of k

Mathematics

1 answer:

kap26 [50]3 years ago

7 0

Answer: The answer is -3

Step-by-step explanation:

g(x)=kf(x)

g(-3)=kf(-3)

To solve this for k we will need to find the values for both g(-3) and f(-3).

g(-3) means we want the y that corresponds to x=-3 on the curve/line of g.

g(-3)=-3

f(-3) means we want the y that corresponds to x=-3 on the curve/line of f.

f(-3)=1

So our equation becomes:

g(-3)=kf(-3)

-3=k(1)

-3=k

So k=-3.

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Step-by-step explanation:

We are given that Bernie spends $6.50 on ingredients and cups for his lemonade stand. He charges $1.50 for each cup of lemonade. Inequality that represents this situation: $20\leq 1.50x-6.50$ .

To find number of cups x to make a profit of at least $20 we will use our given inequality.

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