Abox of cereal states that there are 90 calories in a 3/4 cup serving. what is the unit rate for calories per? cup? how many calories are there in 4 cups of the? cereal

  unit rate for calories per cup = 120

calories in 4 cups of cereal = 480

Solution:

Total number of calories in a box of cereal = x calories

Calories in 3/4 cup serving = 90

How many calories in 4 cups = c

How many calories per cup = x

Unitary method

Cups                        Calories

3/4                            90

 1                                 x

Corss multiply

3/4 * x = 90 * 1

x = 90 * 4/3

x =  120 calories

Now for 4 cups,

Cups                calories

1                         120

4                          c  

(Cross multiply)      

1 * c = 120 * 4

c =   480 calories answer                    

(1, –1), (16, –4), (36, –6)

step-by-step explanation:

given that the function is

this can also be written as

we have to graph this function and check which list of points lie on the graph

see attachment for graph:

we find that the points lying are (1,-1) (16,-4) and (36,-6)

since square root is there we find that x can only be posiitve but y can be since square root both positive and negative.