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1 month ago

O.9c + 1.89r = 17.01 c=18.9 - 2.1r equation answer

Mathematics

1 answer:

tester [12.3K]1 month ago

4 0

Answer:

$c=18.90-2.1r$

Step-by-step explanation:

The entire question is

A chef spent $17.01 on ribs and chicken. The cost per pound for ribs is 1.89, while chicken is 0.90. The equation 0.90 +1.89r = 17.01 signifies the relationship between the quantities in this scenario.

Demonstrate that the following equations are equivalent to 0.9c + 1.89r = 17.01.

Furthermore, explain when these forms of the equation would be useful.

a. c=18.9-2.1r. b. r= -10÷2c+9

We know that

The standard form for the linear equation is

$0.90c+1.89r=17.01$

where

c is the pounds of chicken

r is the pounds of ribs

step 1

Rearrange the equation to isolate c

This implies ----> make c the subject

Subtract 1.89r from both sides

$0.90c=17.01-1.89r$

Divide both sides by 0.90

$c=(17.01-1.89r)/0.90$

Simplify

$c=18.90-2.1r$

step 2

Rearrange the equation to solve for r

This implies ----> make r the subject

Subtract 0.90c from both sides

$1.89r=17.01-0.90c$

Divide both sides by 1.89

$r=(17.01-0.90c)/1.89$

Simplify

$r=9-0.48c$

Thus

The equation $c=18.90-2.1r$ is equivalent.

This equation is practical since it allows me to find the number of pounds of chicken by substituting the amount of ribs into the equation to get my answer.

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