Question

Express each rate as unit rate.Round to the nearest if necessary

Answer 1

Given the question in the image, the following are the solution steps to answer the question.

STEP 1: Solve Question 4

`\begin{gathered} \text{ \$}495=30\text{ tickets} \\ x=1\text{ ticket} \\ By\text{ cross multiplication.} \\ 30\cdot x=495\cdot1 \\ x=(495)/(30)=16.5 \\ 1\text{ ticket = \$16.50} \end{gathered}`

Unit rate is $16.5 per ticket

STEP 2: Answer Question 5

`unit\text{ rate}=\frac{420\text{ words}}{5\text{ minutes}}=84\text{ words per minutes}`

Unit rate is 84 words per minute

STEP 3: answer question 6

`unit\text{ rate}=\frac{\text{ \$}338.52}{6\text{ tickets}}=\text{ \$}56.42\text{ per ticket}`

Unit rate is $56.42 per ticket

STEP 4: Answer question 7

For the first deal,

`unit\text{ rate}=\frac{\text{ \$}2.09}{10c}=\text{ \$}0.209\text{ per c}\approx\text{ \$}0.21\text{ per c}`

For the second deal,

`\text{unit rate}=\frac{\text{ \$}4.89}{22}=0.222272727\approx\text{ \$}0.22\text{ per c}`

Hence, the better deal is the smaller unit rate which is the first deal (10c+ at $2.09)