Linear Equations (Slope-intercept and Standard Form)

What is the interpretation of the slope in the situation where the equation relating the diameter of a hole (mm) in a plastic cup and the amount of water (mL) in the cup 5 seconds after being filled is found to be y = -10.37x + 500?

• For every additional second, the cup loses 10.37x mL of water.

• For each increase of 1 mm in diameter of the hole, the cup loses 10.37 mL of water.

• For each decrease of 1 mm in diameter of the hole, the cup loses 10.37 mL of water.

• If the water is let go for 1 second less, 10.37 mL water is lost.

What is the meaning of the slope of the equation C(x) = 385 + 0.45x in the context of the cost to make DVDs, where x is the number of DVDs?

• It is the cost for printing 45 DVDs.

• It is the cost for printing each DVD.

• It is the flat rate for making each DVD.

• It is the flat rate for making 385 DVDs.

Tags

CCSS.HSF.LE.B.5

What is the meaning of the slope in the model p = 10 + 0.3t for Heather's typing?

• It is the number of words Heather types after lunch.

• It is the total number of pages Heather types for the report.

• It is the number of pages per minute Heather types.

• It is the number of minutes Heather needs to type a single page.

Tags

CCSS.HSF.LE.B.5

What is the meaning of the slope in the equation g = 4.77s + 12.44, where s is the number of people in a household and g is the garbage produced per week in pounds?

• Every pound of garbage produced per week represents 4.77 people per household.

• Every pound of garbage produced per week represents 12.44 people per household.

• For every person living in a household, the household generates 4.77 pounds of garbage per week.

• For every person living in a household, the household generates 12.44 pounds of garbage per week.

Tags

CCSS.HSF.LE.B.5

Which statement most accurately describes the slope of this data set?

• The candle burns 3 inches every hour.

• The candle burns 4 inches every hour.

• The candle burns 3 inches every 4 hours.

• The candle burns 4 inches every 3 hours.

Tags

CCSS.HSF.LE.B.5

The value (V) of property in a particular area depends on the land and the square footage of the house according to the equation given in the box, where x represents the square footage of the house, in square feet. What is the meaning of the V-intercept and slope in the context of the equation V = 80x + 6,000?

• The V-intercept is the value of the land without the house, and the slope is the rate of increase of the value of the house for each increase in square footage.

• The V-intercept is the value of the house not including the land, and the slope is the total value of the house and land.

• The V-intercept is the total value of the house and land, and the slope is the value of the house not including the land.

• The V-intercept is the rate of increase of the value of the house for each increase in square footage, and the slope is the value of the land without the house.

Tags

CCSS.HSF.LE.B.5

The equation P = 16,250 + 75n can be used to determine the population, P, of a city after, n, years. Which statement is true?

• The initial population was 16,250 people.

• The population after 10 years was 16,325 people.

• The population increases by 16,250 people each year.

• The population increases by 16,250 people every 75 years.

Tags

CCSS.HSF.LE.B.5

The linear equation y = 400 + 50x represents the total cost, y, per hour, x, for the services of a lawyer at a law firm. The lawyer charges a flat retainer fee and then charges per hour of work done. What does the y-intercept of the equation represent in this context?

• the cost of $50 per hour of work

• the cost of $400 per hour of work

• the flat retainer fee of $50

• the flat retainer fee of $400

Tags

CCSS.HSF.LE.B.5

A florist buys x dozen roses and y dozen carnations for a wedding. The roses cost $16 per dozen, and the carnations cost $9 per dozen. If the florist pays a total of $218, which equation represents the situation?

• 16x + 9y = 218

• 16x - 9y = 218

• 9x + 16y = 218

• 9x - 16y = 218

Tags

CCSS.HSA.CED.A.3

An organic farmer raises wheat and corn on a 144-acre farm. After doing some market research, the farmer decides to plant 25% more corn than wheat. The price of corn is $8 per bushel, and the price of wheat is $5 per bushel. If the farmer earns $3,000 from selling x bushels of corn and y bushels of wheat, which equation represents the situation?

• 5x - 8y = 3,000

• 5x + 8y = 3,000

• 8x - 5y = 3,000

• 8x + 5y = 3,000