Modeling Equation in Slope Intercept Form

Which of the following is another meaning of y-intercept?

• location

• initial value

• total

• constant rate

You plan to attend the county fair this weekend. Admission to the fair is $5 and the cost per ride is $0.50. Check off ALL of the following that are true.

• y = 0.5x + 5 will tell me how much I will spend on x rides

• After 3 rides I will spend $1.50

• If I go on NO rides I still have to pay $5 to get in.

• After 3 rides I will spend $6.50

• The slope is $5 per ride

The equation y=10x represents the amount of allowance, y, in dollars, that Jacob receives for doing x hours of chores. Which statement interprets the slope of this equation?

• Jacob does chores for $0 per hour.

• Jacob does chores for $10 per hour.

• Jacob receives $0 of allowance money before doing any chores.

• Jacob receives $10 of allowance money before doing any chores.

A fish is swimming at a constant rate toward the ocean floor. The equation y = -7x - 3 can be used to represent this situation, where y is the depth of the fish in meters below sea level and x is the number of seconds the fish has been swimming.

Which statement best describes the depth of the fish, given this equation?

• From a starting position of 7 meters below sea level, the fish is descending 3 meters per second.

• From a starting position of 7 meters below sea level, the fish is ascending 3 meters per second.

• From a starting position of 3 meters below sea level, the fish is descending 7 meters per second.

• From a starting position of 3 meters below sea level, the fish is ascending 7 meters per second.

A T-shirt design company charges your team an initial fee of $25 to create the team's design. Each t-shirt printed with your design costs an additional $8. The equation for this situation is y = 8x + 25. Interpret the y-intercept in context.

• The additional fee of $8.

• The initial fee of $25.

• The additional fee of $25.

• The initial fee of $8.

Slope is another word for:

• Initial Value

• Rate of Change

• Change in Y's

• Y-intercept

Groups:

(a) Residual of 0

,

(b) Residual of 1 or -1

,

(c) Residual of 2 or -2

,

(d) Residual of 3 or -3

• (6, -3)

• (8, -6)

• (16, -10)

• (4, -1)

• (10, -8)

• (14, -10)

• (20, -9)

• (12, -10)

• (18, -9)

Problem #8 equation

Use technology to find an equation of the line of best fit for the data.

Mathematical Equivalence

ON

MODELING REAL LIFE:

The table shows the grade point averages y of several students and the numbers x of hours they spend watching television each week.

c. Interpret the slope and y-intercept of the line of best fit.

slope = ​ (a)  

y-intercept = ​ (b)  

• -0.08

• 0.08

• 3.8

• -3.8

The table shows the total numbers y of people who reported an earthquake x minutes after it ended. Interpret the slope and y-intercept of the line of best fit.

Mathematical Equivalence

ON