Question

Jaquan washes cars for his neighbors on the weekends. Jaquan uses the same amount of water for each car he washes.
The points on the following coordinate plane show how much water Jaquan uses for 2, 5, and 8 cars.
A coordinate grid with the x-axis labeled Cars and the y-axis labeled Water, liters. The grid has points plotted at (2, 24), (5, 60), and (8, 96).
How much water does Jaquan use for 6 cars?

Answer 1

Answer:

72 liters

Step-by-step explanation:

Each point on the graph represents a ratio of the number of carsnumber of carsstart color #0c7f99, start text, n, u, m, b, e, r, space, o, f, space, c, a, r, s, end text, end color #0c7f99 Jaquan washes to the amount of wateramount of waterstart color #a75a05, start text, a, m, o, u, n, t, space, o, f, space, w, a, t, e, r, end text, end color #a75a05 Jaquan uses.For example, the point graphed at  (2,24)(2,24)left parenthesis, start color #0c7f99, 2, end color #0c7f99, comma, start color #a75a05, 24, end color #a75a05, right parenthesis represents the ratio 2:242:24start color #0c7f99, 2, end color #0c7f99, colon, start color #a75a05, 24, end color #a75a05 and means that for every 22start color #0c7f99, 2, end color #0c7f99 cars Jaquan washes, he uses 24 L24Lstart color #a75a05, 24, start text, L, end text, end color #a75a05 of water.The points are all on a straight line through the origin because they represent equivalent ratios.Hint #22 / 4To find out how much water Jaquan uses for washing 666 cars, we can multiply both numbers in the ratio 2:242:24start color #0c7f99, 2, end color #0c7f99, colon, start color #a75a05, 24, end color #a75a05 by 333.If Jaquan washes 333 times as many cars, he uses 333 times as much water.Cars22start color #0c7f99, 2, end color #0c7f99→×3right arrow, start superscript, times, start color #7854ab, 3, end color #7854ab, end superscript666Water (LLstart text, L, end text)2424start color #a75a05, 24, end color #a75a05→×3right arrow, start superscript, times, start color #7854ab, 3, end color #7854ab, end superscript727272Hint #33 / 4We can plot the ratio (6,72)(6,72)left parenthesis, 6, comma, 72, right parenthesis on the coordinate plane to see if it is in line with the other ratios.112233445566778812122424363648486060727284849696Water (L),yCars,x(2,24)(2,24)(5,60)(5,60)(8,96)(8,96)(6,72)(6,72)A coordinate grid with the x-axis labeled Cars and the y-axis labeled Water, liters. A dotted line passes through the origin and the point (8, 96). There are 4 points plotted on the line at (2, 24), (5, 60), (6, 72), and (8, 96).Hint #44 / 4Jaquan uses 72 L72L72, start text, L, end text of water for washing 666 cars.Related contentVideo 5 minutes 12 seconds5:12Ratios on coordinate planeReport a problem

Answer 2

Answer:

Jaquan uses 72 liters of water for 6 cars.

Step-by-step explanation:

Given, Jaquan uses the same amount of water for each car he washes.

A coordinate grid with the x-axis labeled Cars and the y-axis labeled Water, liters. The grid has points plotted at (2, 24), (5, 60), and (8, 96).

The coordinate grid with the points is shown in the figure.

• The three points lie on a straight line with equation of the form       y = mx + c.
• To find out how much water does Jaquan use for 6 cars, we should find the corresponding y - coordinate when x = 6 on the straight line.

Calculating the line equation,

Consider two points on the line, (x₁, y₁) = (2, 24), (x₂, y₂) = (5, 60).

Slope of the line, m = (y₂ - y₁)/(x₂ - x₁)

m = (60 - 24)/(5 - 2)

m = 36/3

m = 12

Y - intercept, c = y - 12x

c = 24 - 12 * 2 = 24 - 24

c = 0

Therefore, the equation of line is y = 12x.

Given, x = 6

y = 12 * 6

y = 72

Therefore, Jaquan uses 72 liters of water for 6 cars.

Find more similar problems:

On the coordinate plane shown below, points H and F have coordinates (-2,-3) and (-4,2), respectively. Use the distance formula to determine the straight line distance between points H and F. In your final answer, include all of your calculations.

https://brainly.in/question/6081472

Line Equation.

https://brainly.in/question/16615967