Question

marina is heating a solution in her chemistry lab. the temperature of the solution starts at 20°c. she turns on the burner and finds that the solutions temperature increases by 3°c every minute. this graph shows the temperature change. which point is on her graph? a. (1,20) b. (26,4) c. (4,32) d. (2,24)

Explanation:

Step1: Find the temperature - time formula

The initial temperature $T_0 = 20^{\circ}C$ and the rate of increase is $3^{\circ}C$ per minute. The formula for the temperature $T$ as a function of time $t$ (in minutes) is $T=20 + 3t$.

Step2: Check option A

For $t = 1$, $T=20+3\times1=23
eq20$. So, option A is incorrect.

Step3: Check option B

For $t = 4$, $T=20 + 3\times4=20 + 12=32
eq26$. So, option B is incorrect.

Step4: Check option C

For $t = 4$, $T=20+3\times4=20 + 12=32$. So, the point $(4,32)$ is on the graph.

Step5: Check option D

For $t = 2$, $T=20+3\times2=20 + 6=26
eq24$. So, option D is incorrect.

Answer:

C. (4, 32)