Final answer:
To find the number of letters that make the cost at Awards Unlimited cheaper than the cost at Trophies-R-Us, we set the total costs equal to each other and solve for e which is the number of letters engraved. The number of letters, e, must be 15 or more for the cost at Awards Unlimited to be cheaper.
Step-by-step explanation:
To determine how many letters, e, must be engraved for the cost of the trophy at Awards Unlimited to be cheaper than the cost of the trophy at Trophies-R-Us, we need to compare the total costs of the trophy and engraving at both stores. The total cost at Trophies-R-Us is given by 12.50 + 0.40e, while the total cost at Awards Unlimited is 14.75 + 0.25e. To find the number of letters that make the cost at Awards Unlimited cheaper, we set the two total costs equal to each other and solve for e:
The student is asking a question about determining the number of letters, e, that needs to be engraved on a trophy for the total cost at Awards Unlimited to be cheaper than the cost at Trophies-R-Us. To solve this, we set up an inequality where the total cost of the trophy and engraving at Awards Unlimited is less than the total cost at Trophies-R-Us.Therefore, if the number of letters engraved is 15 or more, the cost at Awards Unlimited will be cheaper than the cost at Trophies-R-Us.