1. suppose that f(x) varies directly with x and f(x) = 160 when x = 5. what is f(x) when x = 0.5? a. 16 b. 32 c. 160 d. 180 2. suppose that h(x) varies inversely with x and h(x) = 50 when x = 0.25. what is h(x) when x = 2? a. 0.5 b. 6.25 c. 12.5 d. 24

Answer

A. 16

Explanation

We know that f(x) varies directly with x, so this is a problem involving proportions.

We know that when f(x) = 160 when x = 5 and f(x) = ? when x = 0.5; in other words:

Now, we can express our proportion as a fraction and solve for f(x):

We can conclude that when

Answer

B. 6.25

Explanation

Just like before, we have a problem involving proportions, but this time is an inverse proportion since h(x) varies inversely with x.

First, lets set up our proportion just like before. We know that when h(x) = 50 when x = 0.25 and h(x) = ? when x = 2; in other words:

Now we can express our proportion as a fraction:

But remember that we are dealing with an inverse proportion here, so before solving for h(x) we need to flip the second fraction:

We can conclude that when

3.4 pizzas

step-by-step explanation:

given is a scatter plot showing number of pizzas sold during weeks for different issues of coupon

y represents number of pizzas sold and x number of coupons issued

y is marked verticaly and x horizontally

the trend line is given as

y =3.4x+43

this says that even when no coupon is issued pizzas sold will be 43

and rate of change of pizza sold for 1 unit of coupon = slope = 3.4

i.e. when x increases by 1 unit y increases by 3.4 units

hence for each additional coupon issued 3.4 pizzas more will be sold

answer: 2 answers

step-by-step explanation: the first one means to spread the product throughout the marketplace such that a large number of people can buy it.  

the second means the process of making a product or service available for the consumer or business user that needs it.

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