Question

the tables show linear functions representing the estimated time it takes for the math and language arts portions of standardized tests with different numbers of questions.
math
number of questions: 25, 30, 45, 50, 65
estimated time (min): 87, 102, 147, 162, 207
language arts
number of questions: 20, 35, 40, 55, 60
estimated time (min): 88, 148, 168, 228, 248
which function has the greater slope and what does it indicate?

• the math function has the greater slope, which shows that the estimated time per question for math is less than the estimated time per question for language arts.
• the math function has the greater slope, which shows that the estimated time per question for math is greater than the estimated time per question for language arts.
• the language arts function has the greater slope, which shows that the estimated time per question for language arts is less than the estimated time per question for math.
• the language arts function has the greater slope, which shows that the estimated time per question for language arts is greater than the estimated time per

Explanation:

Step1: Calculate slope for Math

Use two points from Math table, e.g., (25, 87) and (30, 102). Slope formula: $m = \frac{y_2 - y_1}{x_2 - x_1}$. So $m_{math} = \frac{102 - 87}{30 - 25} = \frac{15}{5} = 3$.

Step2: Calculate slope for Language Arts

Use two points from Language Arts table, e.g., (20, 88) and (35, 148). $m_{lang} = \frac{148 - 88}{35 - 20} = \frac{60}{15} = 4$.

Step3: Compare slopes and interpret

Since $4 > 3$, Language Arts slope is greater. A greater slope means more time per question (as slope is time per question, since time depends on number of questions). So Language Arts has greater slope, meaning estimated time per question for Language Arts is greater than Math.

Answer:

The language arts function has the greater slope, which shows that the estimated time per question for language arts is greater than the estimated time per question for math. (The last option, assuming it's the one with this description)