Answer:
Part a) The expression is [tex]3.2445x[/tex]
Part b) Customer cannot buy 2.5 ounces of paprika and have it shipped for less than $8.00
Step-by-step explanation:
The complete question is
A spice store charged 2.75 for 25 grams of paprika. It also charges 5% of the purchase price for shipping any order.
Part a) Write and simplify an expression to determine the cost of buying and shipping x ounces of paprika. Use 1 ounce = 28 grams
Part b) Can a customer buy 2.5 ounces of paprika and have it shipped for less than 8.00? Explain
step 1
Convert grams to ounces
Remember that
[tex]1\ oz=28\ g[/tex]
To convert grams to ounces divide by 28
[tex]25\ g=25/28= 0.89\ oz[/tex]
The unit price is
[tex]2.75/0.89=3.09\frac{\$}{oz}[/tex]
Let
x ----> the number of ounces of paprika
y ----> the cost of buying and shipping x ounces of paprika
5%=5/100=0.05
[tex]y=3.09x+(3.09x)0.05\\y=3.09x[1+0.05]\\y=3.2445x[/tex]
Part b) For x=2.5 oz
substitute in the equation
[tex]y=3.2445(2.5)=\$8.11[/tex]
[tex]\$8.11 > \$8.00[/tex]
therefore
Customer cannot buy 2.5 ounces of paprika and have it shipped for less than $8.00
