State whether the relationship between x and y in \(\text{y} = 4\text{x} – 5\) is proportional or nonproportional. Then graph the function.

The Fortaleza telescope in Brazil is a radio telescope. Its shape can be approximated with the equation \(\text{y} = 0.013\text{x}^2\) . Is the relationship between x and y linear? Is it proportional? Explain.

Kiley spent $20 on rides and snacks at the state fair. If x is the amount she spent on rides, and y is the amount she spent on snacks, the total amount she spent can be represented by the equation \(\text{x} + \text{y} = 20\). Is the relationship between x and y linear? Is it proportional? Explain.

Represent Real-World Problems

The drill team is buying new uniforms. The table shows y, the total cost in dollars, and x, the number of uniforms purchased.

a. Use the data to draw a graph. Is the relationship between x and y linear? Explain.

b. Use your graph to predict the cost of purchasing 12 uniforms.

Marta, a whale calf in an aquarium, is fed a special milk formula. Her handler uses a graph to track the number of gallons of formula y the calf drinks in x hours. Is the relationship between x and y linear? Is it proportional? Explain.