Practice - Algebra 1

1.15.5 Practice

1.15.5 • Practice

Complete the following questions to practice the skills you have learned in this lesson.

If $y$ varies directly as $x$ and $y=14$ , when $x=3$ , find the equation that relates $x$ and $y$ .

The price, $P$ , that Eric pays for gas varies directly with the number of gallons, $g$ , he buys. It costs him $50 to buy 20 gallons of gas. Choose the equation that relates $P$ and $g$ .

$P=\frac g{2.5}$
$G=\frac{2.5}p$
$P=\frac{2.5}g$
$P = 2.5g$

Joseph is traveling on a road trip. The distance, $d$ , he travels before stopping for lunch varies directly with the speed, $v$ , he travels. He can travel 120 miles at a speed of 60 mph. How many miles would he travel before stopping for lunch at a rate of 65 mph?

The mass of a liquid, $M$ , varies directly with its volume, $V$ . A liquid with mass 16 kilograms has a volume of 2 liters. What is the volume, in liters, of this liquid if its mass is 128 kilograms?

The length, $L$ , that a spring stretches varies directly with a weight, $W$ , placed at the end of the spring. When Sarah placed a 10-pound watermelon on a hanging scale, the spring stretched 5 inches. What weight of watermelon, in pounds, would stretch the spring 6 inches?

The maximum load a beam, $M$ , will support varies directly with the square of the diagonal of the beam’s cross-section, $d^2$ . A beam with diagonal 6 inch will support a maximum load of 108 pounds. What load, in pounds, will a beam with a 10-inch diagonal support?

The number of calories, $c$ , burned varies directly with the amount of time, $t$ , spent exercising. Arnold burned 312 calories in 65 minutes exercising. How many calories would he burn if he exercises for 90 minutes?