Sheila wrote the equation t= 3m+25 to represent the temperature, t, in degrees Celsius, after a substance had been heated for m minutes.

Describe the relationship between the temperature of the substance and the time the substance has been heated.

Select from the drop-down menus to correctly complete each statement.

The temperature was initially
Choose... (1,3,25) degree(s) Celsius. The tempature increased by
Choose... (1,3,25) degree(s) Celsius every
Choose... (1,3,25 minute(s) it was heated. The substance would have to be heated Choose... (4,15,25)
minutes to reach 100 degrees Celsius.

2. angles qrt and qst both measures 156 degrees.

step-by-step explanation:  

we have been given a diagram of a circle and we are told that measure of arc qvt is 156 degrees.  

we can see from our given diagram that angle qrt and angle qst subtends to arc qvt.

since we know that angles subtended by the same arc at the circumference are always equal.

by angle subtended by same arc theorem, measure of angle qrt and angle qst will be equal to the measure of arc qvt.

therefore, angles qrt and qst both measures 156 degrees and 2nd statement is the correct choice.

b: |12 – x| ≤ 0.25

step-by-step explanation:      

let x be the possible lengths in inches, of the ribbons jaime cut.

we have been given that jaime is cutting strips of ribbon for a project. he tries to cut each piece to be 12 inches long, but sometimes he cuts it too long or too short by as much as 0.25 inch.  

we can represent this information in an inequality as:

by the definition of absolute value function we will get,

upon combining our inequalities we will get,

therefore, the inequality   describes all the possible lengths (x), in inches, of the ribbons jaime cut.

step-by-step explanation: