Question

1. a bookstore is having a sale, offering a discount on all books in the store. a book with a regular price of $12.95 is on sale for $7.77. at the same discount rate, what is the selling price of a book with a regular price of $18.50? a. $5.18 b. $5.55 c. $10.73 d. $11.10

Explanation:

Question 41

Step1: Calculate Nick's pay rate

To find Nick's hourly rate, divide his total earnings by the number of hours worked. Nick earned $48.75 for 5 hours, so his rate is $\frac{48.75}{5}$.
$48.75 \div 5 = 9.75$ dollars per hour.

Step2: Calculate John's pay rate

John earned $58.32 for 6 hours. His hourly rate is $\frac{58.32}{6}$.
$58.32 \div 6 = 9.72$ dollars per hour.

Step3: Compare the two rates

Nick's rate is $9.75$ dollars per hour and John's rate is $9.72$ dollars per hour. Since $9.75 > 9.72$, Nick has a higher rate of pay.

Step1: Find the discount rate

First, find the discount amount for the first book. The regular price is $12.95$ and the sale price is $7.77$. The discount amount is $12.95 - 7.77 = 5.18$. The discount rate (as a decimal) is $\frac{7.77}{12.95}$ (since the sale price is the regular price times (1 - discount rate), but we can also think of the sale price as a proportion of the regular price). Let's calculate the proportion: $\frac{7.77}{12.95} = 0.6$ (because $12.95\times0.6 = 7.77$).

Step2: Calculate the sale price for the second book

The regular price of the second book is $18.50$. Multiply this by the proportion we found (0.6) to get the sale price: $18.50\times0.6 = 11.10$ dollars.

Step1: Find the price per baseball

Last year, 60 baseballs cost $1620$. The price per baseball is $\frac{1620}{60} = 27$ dollars per baseball.

Step2: Write the equation for total price

The total price $T$ of $n$ baseballs is the price per baseball times the number of baseballs. So the equation is $T = 27n$.

Answer:

Nick $\boldsymbol{X}$
John $\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_$

Question 42