Answer:
[tex]c=18.90-2.1r[/tex]
Step-by-step explanation:
The complete question is
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 helpful to write the equation in these forms.
a. c=18.9-2.1r. b. r= -10÷2c+9
we have that
The linear equation in standard form is
[tex]0.90c+1.89r=17.01[/tex]
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
[tex]0.90c=17.01-1.89r[/tex]
Divide by 0.90 both sides
[tex]c=(17.01-1.89r)/0.90[/tex]
Simplify
[tex]c=18.90-2.1r[/tex]
step 2
Solve the equation for r
That means ----> isolate the variable r
Subtract 0.90c both sides
[tex]1.89r=17.01-0.90c[/tex]
Divide by 1.89 both sides
[tex]r=(17.01-0.90c)/1.89[/tex]
Simplify
[tex]r=9-0.48c[/tex]
therefore
The equation [tex]c=18.90-2.1r[/tex] 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.
