It costs $10 to enter a petting zoo. Each cup of food to feed the animals is $2. If you have $14, write and solve an equation to determine how many cups of food you can buy.

PLEASE WRITE AN EQUATION

Answer:

5 cups

Step-by-step explanation:

To do this simply, we can just count up how many cups we can buy.

starting balance=

$12.50

after cup 1=

12.5−2.5=$10.00

after cup 2=

10−2.5=$7.50

after cup 3=

7.5−2.5=$5.00

after cup 4=

5−2.5=$2.50

after cup 5=

2.5−2.5=$0.00

From this, we can see that after buying the 5th

cup, the buyer is out of money, so that means that you can buy

5 cups of food to feed the animals before running out of money.

The number of cups is 2 cups

The equation is y = 2x + 10 where the slope of the equation x is the number of cups and y is the total amount

What is an Equation of a line?

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

And y - y₁ = m ( x - x₁ )

y = y-coordinate of second point

y₁ = y-coordinate of point one

m = slope

x = x-coordinate of second point

x₁ = x-coordinate of point one

The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given data ,

Let the equation be represented as A

Now , the value of A is

Let the total number of cups be = x

The total amount y = $ 14

The cost of entering the zoo = $ 10

The cost of of feeding the animals per cup = $ 2

So , the equation will be

Total amount y = cost of entering the zoo + ( total number of cups x cost of of feeding the animals per cup )

Substituting the values in the equation , we get

y = 2x + 10   be equation (1)

On simplifying the equation , we get

14 = 2x + 10

Subtracting 10 on both sides of the equation , we get

2x = 4

Divide by 2 on both sides of the equation , we get

x = 2 cups

Therefore , the value of x is 2 cups

Hence , the number of cups is 2 cups

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