Final answer:
To find an expression equivalent to 2.4y - 5.6 using the GCF, factor out 0.8 from both terms to get 0.8(3y - 7).
Step-by-step explanation:
The question asks us to use the Greatest Common Factor (GCF) to generate an expression equivalent to 2.4y − 5.6.
To do this, we first need to identify the GCF of the numerical coefficients 2.4 and 5.6. Both numbers can be divided cleanly by 0.8, which is their GCF.
After finding the GCF, we divide both terms by 0.8 and factor it out of the expression.
Here are the steps:
Identify the GCF of 2.4 and 5.6: GCF = 0.8
Divide both coefficients by GCF: 2.4 ÷ 0.8 = 3; 5.6 ÷ 0.8
= 7
Write the expression with the GCF factored out: 0.8(3y − 7)
The equivalent expression using the GCF is 0.8(3y − 7).