Use the image to answer the question.

Question

On a graph titled Time Spent and Test Grades, a line and ten points are plotted in quadrant 1 of a coordinate plane. The x-axis is labeled Hours Worked, and the y-axis is labeled Grade.

The data in the graph represents the relationship between the amount of time spent studying and test grades. Each point represents a piece of data collected from students who took a test and the grade that student received. For example, (2,70)
represents a student who studied for 2 hours and received a 70. Decide which model best fits this data.

(1 point)
Responses

an exponential model
an exponential model

no model
no model

a linear model
a linear model

a quadratic model

Answer 1

Based on the description of the graph with a line and points plotted in quadrant 1, the best model that fits the data representing the relationship between hours studied and test grades would likely be a linear model.

In general, a linear relationship suggests that as one variable increases (in this case, hours worked), the other variable (test grades) also increases in a consistent manner. If the line is straight and the points closely follow this line, it further supports the idea of a linear relationship.

Therefore, the best response is a linear model.