The height and weight of several adults were recorded:
Height (ft)
4.65
5.15
5.6
5.85
6.2
6.35
Weight (lbs)
95.9
118
141
151
167
186
It was discovered that this can be modeled by the equation
y = 50.2x−140
where x is height in feet and y is weight in pounds.
What height corresponds to a weight of 130 pounds? Round to the nearest hundredth.
A 6.25 ft B 5.85 ft C 6.68ft D 5.38 FT

D ) 5.38 ft

Step-by-step explanation:

Plug y as the weight

130 = 50.2x -140

add 140 to both sides

270 = 50.2x

divide by 50.2

x = 5.37848606

5.37848606 rounds to 5.38

x + y = 90 5x – 10y = 90 90 – 10y = 5x 90 + 10y = 5x

step-by-step explanation:

last month maria hiked the 5-mile mountain trail a number of times and she hiked the 10-mile canal trail several times. let x represent the number of times she hiked the 5-mile trail, and let y represent the number of times she hiked the 10-mile trail. if she hiked a total of 90 miles, which equation can be used to find the number of times maria hiked each trail? x + y = 90 5x – 10y = 90 90 – 10y = 5x 90 + 10y = 5x