Given:
[tex]The\text{ total cost of m pounds of meat and c pounds of ch}eese\text{ =7.99m+5.99c}[/tex]Consider the induvial options.
a)
Each pound of cheese costs $5.99.
Yes, the unit cost of cheese is $5.99.
It is true.
b)
Each pound of meat costs $7.99.
Yes, the unit cost of meat is $7.99.
It is true.
c) The total cost of c pounds of cheese is $7.99.
Substitute m=0 in the given expression.
[tex]The\text{ total cost of 0 pounds of meat and c pounds of ch}eese\text{ =7.99(0)+5.99c}[/tex][tex]The\text{ total cost of c pounds of ch}eese\text{ =5.99c}[/tex]Option c is false.
d)The total cost of m pounds of meat is $7.99.
Substitute c=0 in the given expression.
[tex]The\text{ total cost of m pounds of meat and o pounds of ch}eese\text{ =7.99m+5.99}(0)[/tex][tex]The\text{ total cost of m pounds of meat =7.99m}[/tex]Option d is false.
e) The total cost for 2 pounds of meat and 3 pounds of cheese is $33.95.
Substitute m=2 and c=3 in the given expression.
[tex]The\text{ total cost for 2 pounds of meat and 3 pounds of ch}eese\text{ =7.99(2)+5.99}(3)[/tex][tex]\text{=}15.98+17.97[/tex][tex]=33.95[/tex][tex]The\text{ total cost for 2 pounds of meat and 3 pounds of ch}eese\text{ =\$}33.95[/tex]It is true.
Final answer:
Options a, b, and e are correct.