Question

from unit 2, lesson 4
the environmental science club is printing t - shirts for its 15 members. the printing company charges a certain amount for each shirt plus a setup fee of $20. if the t - shirt order costs a total of $162.50, how much does the company charge for each shirt?
from unit 2, lesson 5
the graph shows the relationship between temperature in °c and temperature in °f.
a. mark the point on the graph that shows the temperature in celsius when it is 60°f.
b. mark the point on the graph that shows the temperature in fahrenheit when it is 60°c.
c. water boils at 100°c. use the graph to approximate the boiling temperature in fahrenheit, or to confirm it, if you knew what it is.
d. the equation that converts fahrenheit to celsius is c = 5/9(f - 32). use it to calculate the temperature in celsius when it is 60°f. (this answer will be more exact than the point you found in the first part.)

Explanation:

Step1: Solve for cost per - shirt

Let the cost per shirt be $x$. The total cost of the order is the cost of 15 shirts plus the setup fee. The equation is $15x + 20=162.50$.
First, subtract 20 from both sides of the equation: $15x=162.50 - 20$.
$15x = 142.50$.

Step2: Calculate the value of $x$

Divide both sides of the equation $15x = 142.50$ by 15: $x=\frac{142.50}{15}$.
$x = 9.50$.

Step3: Answer part (a) of temperature - related questions

To mark the point for $F = 60^{\circ}$ on the graph, find 60 on the $x$ - axis (Fahrenheit) and then find the corresponding $y$ - value (Celsius) on the line.

Step4: Answer part (b) of temperature - related questions

To mark the point for $C = 60^{\circ}$ on the graph, find 60 on the $y$ - axis (Celsius) and then find the corresponding $x$ - value (Fahrenheit) on the line.

Step5: Answer part (c) of temperature - related questions

Find 100 on the $y$ - axis (Celsius) and then find the corresponding $x$ - value (Fahrenheit) on the line. The boiling point of water in Fahrenheit is approximately 212°F.

Step6: Answer part (d) of temperature - related questions

Use the formula $C=\frac{5}{9}(F - 32)$ with $F = 60$.
$C=\frac{5}{9}(60 - 32)=\frac{5}{9}\times28=\frac{140}{9}\approx15.56^{\circ}C$.

Answer:

The company charges $9.50$ for each shirt.
a. Mark the point on the graph corresponding to $F = 60^{\circ}$ to find Celsius value.
b. Mark the point on the graph corresponding to $C = 60^{\circ}$ to find Fahrenheit value.
c. The boiling point of water in Fahrenheit from the graph is approximately 212°F.
d. When $F = 60^{\circ}$, $C=\frac{140}{9}\approx15.56^{\circ}C$.