Can you solve this math word problem?

Question

PLEASE HELP! This is the problem:

Mr. Frosty owns a local ice cream parlor and yogurt stand. His single scoop cone sells for 89 cents and the "giant earthquake" of eight scoops sells for $6.07. The cost of the ice cream cone varies linearly with the number of scoops.

*define variables, write the ordered pairs, find the slope, and write the particular equation expressing cost in terms of the number of scoops

Thanks so much

Answer 1

Your welcome. Do your own homework. People like you won't learn anything by getting the answer on the internet  

Answer 2

Hello,

Don't  worry it is a very simple problem.

We can solve this problem by using one point slope form;

Let us first we collect data from the given problem.

Data

let C0=the selling price of one(x0=1) scoop.=89 cents

and C1=thje selling price of eight(x1=8) scoops=706 cents

Thus our variables are x and C, representing number of scoops and their corresponding selling price respectively.

    

Now we find slope by using the  one point slope intercept form

                     (C1-C0)/(x1=x0)=m(slope) -----------> say eqn(1)

Substituting all the values from data we have

                     (706-89)/(8-1)

                    m =74

Now use eqn (1) and put the values of m,x0,and C0 to find the particular eqaution

            (C-89)=74(x-1)

simplifing, we get

     C=74*x+15  ------> eqn(2)

which is the required equation that can be used for any value of x to find the cost of ice cream.

To find the ordered pairs we just put the values of x from 1 to onward

in eqn(2) we can have order pairs as shown bellow

              

           x                              Cost (C)                    ordered pair

            1                                 89                       (1,89)

            2                               163                        (2,163)

            3                               237                        (3,237)

            4                               331                        (4,311)

            5                               385                        (5, 385)

            6                               459                        (6,459)

            7                               533                         (7,533)

            8                               607                         (8,607)

and so on so forth.

Answer 3

Do your own homework, hah.

Answer 4

single scoop = 0.89

8 scoops = 6.07

but one scoop would cost 0.76

let y = cost of ice cream

let x = number of scoops

ordered pairs: ( 1 , 0.89) , ( 8 , 6.07)

to write the equation you must first find the slope

slope = y2 - y1 / x2- x1

         = (6.07 - 0.89 ) / (8-1)

         = 5.18 / 7

         = 0.74

your equation would be

y = 0.74x + somenumber

if you plug in one for x and 0.89 for y, solve for the "somenumber"

0.89 = 0.74 (1) + somenumber

somenumber = 0.15

therefore your final equation would be

y = 0.74x + 0.15

plug in your old answers to double check my work.