Natalia and her friends held a bake sale to benefit a local charity. The friends sold 15 cakes on the first day and 22 cakes on the second day of the bake sale. They collected $60 on the first day and $88 on the second day. Write an equation to represent the amount R Natalia and her friends raised after selling c cakes. The name of the assignment is 5-1 Writing Equations In Slope Intercept Form

✅

Step-by-step explanation:

The equation that will represent the amount raised after selling the cakes to be written in slope-intercept form is given as .

Where,

y = R (amount of cake sold in dollars)

x = c (cakes sold)

m = slope

b = y-intercept.

The equation would look like:

We need to find the value of m and b, to get an equation to represent the situation.

The first point we have from the information given is (15, 60) => 15 cakes sold for $60.

The second point is (22, 88) => 22 cakes sold for $88.

To find b, substitute c = 15, R = 60 and m = 4, into .

Since b = 0, this means there is a proportional relationship between R and c.

Substitute m = 4 and b = 0 into to derive an equation to represent the amount R Natalia and her friends raised after selling c cakes.

✅

correct answer is infinitely many solutions

step-by-step explanation:

2(2x + 3) = -4 + 2(2x + 5)

solving the above equation:

4x + 6 = -4 +4x +10

combining like terms

4x -4x = -4+10-6

0=0

since both sides are 0=0, we end up into true statement it means it has infinite many solutions.

so correct answer is infinitely many solutions