Answer:
35 miles per hour
Step-by-step explanation:
Ann travels a total of (100 +40) = 140 miles in (3 +1) = 4 hours. Her average speed is the ratio of these:
speed = distance/time
speed = (140 miles)/(4 hours) = 35 miles/hour
Answer:
<u>V (t) = 28,900 - 4,335t</u>
<u>The function clearly represent a decay</u>
Step-by-step explanation:
1. Let's review the information given to us to answer the question correctly:
Value of the car = $ 28,900
Annual depreciation = 15% = 0.15
2. Identify the function for the value of the car. Does the function represent growth or decay?
Let y represent the value of the car after t years of utilization, let p the price of the car and d, the annual depreciation, therefore:
V (t) = p - (d * t * p)
Replacing with the values we know:
V (t) = 28,900 - (0.15 * t * 28.900)
V (t) = 28,900 - (0.15 * t * 28.900)
<u>V (t) = 28,900 - 4,335t</u>
<u>The function clearly represent a decay.</u>
<span>1. For the data in the table, does y vary directly with X? If it does write an equation for the direct variation.(X,y) (8,11) (16,22) (24,33)
</span><span>
Yes y=1.375x
</span><span>2.for the data in the table, does y vary directly with X? If it does write an equation for the direct variation. (X,y) (16,4) (32,16) (48,36)
</span>No y does not very directly with x*** <span>
</span><span>3. (Time/hour,distance/miles)(4,233) (6,348) (8,464) (10, 580)
Express the relationship between distance and time in a simplified form as a unit rate. Determine which statement correctly interprets this relationship.
</span><span>58/1 your car travels 58 miles in 1 hour
</span><span>4.what is the slope of the line that passes through the pair of points (2,5) and (8,3)
</span>-1/3
<span>4.what is the slope of the line that passes through the pair of points (-5.2,8.7) and (-3.2,2.7)
</span>
-3
<span>5. What is the slope of the line that passes through the pair of points (3/2,-2) and (-3,7/3)
-26/27
</span><span>6.write an equation in point slope from for the line through the given point with the given slope (5,2) m=3
Y-2=3(X-5)
7. Write an equation in point slope form for the line through the given point with the given slope (-3,-5) m=-2/5
Y+5=-2/5(X+3)
</span><span>8. Write an equation in point slope from for the line through the given point with the given slope. (4,-7) m=-0.54
Y+7=-0.54(x-4)
9. The table shows the height of a plant as it grows. Which equation in point slope from gives the plants height (time,plant height) (2,16)(4,32)(6,48)(8,64)
Y-16=8(X-2)***
</span>
<span>10. Write y=-2/3x+7 in standard form
2x+3y=21
11. Write y=-1/2x+1 in standard form using integers
X+2y=2
</span>
