The cost for a salad depends on its weight, x, in ounces, and is described
by c(x) = 4.5+ 0.32x. Describe how c(x) is related to its parent function and
interpret the function in the context of the situation.

Respuesta :

Given data

c(x) = 4.5+ 0.32x

How c(x) is related to its parent function

The relationship c(x) = 4.5+ 0.32x it is a linear relationship.  It can be compared to the equation of a straight line which is

y = mx + c

m is the slope and c is the y intercept

The comparison shows that

y = c(x)

c = 4.5

m = 0.32

Interpreting the function in the context of the situation

If the cost is related with the relationship c(x) = 4.5+ 0.32x.

it can be seen that even when there is no weight or no salad that is at    x = 0 the cost is c = 4.5.

This means that there is a fixed cost of 4.5 for any salad weight, in ounces bought.

The factor 0.32 is used to reduce the cost of the weight before adding to the fixed cost of  4.5.

The 0.32 is a reduction factor because the value is less than 1 and will reduce any number it multiplies.

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