The amount of sales of single scoop ice cream cones the summer as(c) varies directly with the number of customers c twelve customers bought a total of $ 54 worth of ice cream cones which equation can be used to find the ice cream sales for c customers

a) s(c)= 648c
b) s(c)= 4.5c
c) s(c)= 4.5/c
d) s(c)= 648/c

B) S(c)= 4.5c

Step-by-step explanation:

Here, S(c) represents the sales of ice cream ( in dollars ) for c customers.

∵ Sales of ice cream varies directly with the number of customers,

That is,

S(c) ∝ c

⇒ S(c) = kc ------(1),

Where, k is proportionality constant.

Now, 12 customers bought a total of $ 54 worth of ice cream cones,

i.e. S(c) = 54 if c = 12

From equation (1),

Again by equation (1),

The required equation would be,

S(c) = 4.5c

i.e. OPTION B is correct.

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step-by-step explanation:

55.44 inches

step-by-step explanation:

part a. assuming a perfectly linear relationship, we can find the slope from the first two data points.

slope = m = (change in rainfall)/(change in years)

= (61.80 -62.33)/(2005 -2004) = -0.53/1 = -0.53

then the point-slope form of the equation of the line can be written as

y = m(x -h) +k . . . . . m = -0.53, (h, k) = (0, 62.33)

y = -0.53x +62.33 . . . x = years after 2004

part b. in 2017, x = 2017 -2004 = 13. then the predicted rainfall is

y = -0.53·13 +62.33 = 55.44 . . inches

the predicted rainfall in 2017 is 55.44 in.