3.
a chef bought $17.01 worth of ribs and chicken. ribs cost 1.89 per pound and chicken costs 0.90 per
pound. the equation 0.90 +1.89r = 17.01 represents the relationship between the quantities in this
situation.
show that each of the following equations is equivalent to 0.9c + 1.89r = 17.01. then, explain when
it might be to write the equation in these forms.
a. c=18.9-2.1r. b. r= -10÷2c+9

Step-by-step explanation:

we have that

The linear equation in standard form is

where

c is the pounds of chicken

r is the pounds of ribs

step 1

Solve the equation for c

That means ----> isolate the variable c

Subtract 1.89r both sides

Divide by 0.90 both sides

Simplify

step 2

Solve the equation for r

That means ----> isolate the variable r

Subtract 0.90c both sides

Divide by 1.89 both sides

Simplify

therefore

The equation is equivalent

The equation is helpful, because if I want to know the number of pounds of chicken, I just need to substitute the number of pounds of ribs in the equation to get the result.

so firstly, we need to isolate the y variables to be able to solve these inequalities. firstly, add 0.5x on both sides of the first inequality and subtract 1.5x on both sides of the second inequality:

now since the slope is positive for the first inequality, this means that the line going upwards belongs to the first inequality, and the line going downwards belongs to the second inequality.

next, since y ≥ in the first inequality, this means that the shaded region will be above the first inequality's line, thus shading regions a and b.

next, since y ≤ in the second inequality, this means that the shaded region is going to be below this line, thus shading regions a and c.

since both lines shade region a, this means that region a is the solution.

step-by-step explanation:

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step-by-step explanation:

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