Question

whitney and her friend tiana are making milkshakes for dessert. whitney uses 12 ounces of chocolate ice cream and 6 ounces of peanut butter in her milkshake. tiana wants her milkshake to have a stronger peanut butter flavor, so she uses more peanut butter than whitney. let ( p ) represent the amount of peanut butter, in ounces, that tiana might use in her milkshake. which inequality models the story? ( p > 6 ) ( p > 12 ) ( p < 6 ) ( p < 12 ) graph the inequality that models the story. to draw a ray, plot an endpoint and select an arrow. select an endpoint to change it from closed to open. select the middle of the ray to delete it.

Explanation:

Step1: Analyze the problem

Whitney uses 12 ounces of chocolate ice cream and 6 ounces of peanut butter. Tiana wants a stronger peanut butter flavor, meaning she needs more peanut butter than Whitney. Whitney's peanut butter amount is 6 ounces, so Tiana's peanut butter \( p \) should be greater than 6? Wait, no, wait. Wait, Whitney's milkshake: wait, the problem says "Whitney uses 12 ounces of chocolate ice cream and 6 ounces of peanut butter in her milkshake. Tiana wants her milkshake to have a stronger peanut butter flavor, so she uses more peanut butter than Whitney." Wait, Whitney's peanut butter is 6 ounces? Wait, no, maybe I misread. Wait, let's re-read: "Whitney uses 12 ounces of chocolate ice cream and 6 ounces of peanut butter in her milkshake. Tiana wants her milkshake to have a stronger peanut butter flavor, so she uses more peanut butter than Whitney." Wait, Whitney's peanut butter is 6 ounces? So Tiana needs \( p > 6 \)? Wait, no, wait, maybe Whitney's peanut butter is 6? Wait, the problem says "Whitney uses 12 ounces of chocolate ice cream and 6 ounces of peanut butter in her milkshake. Tiana wants her milkshake to have a stronger peanut butter flavor, so she uses more peanut butter than Whitney." Wait, no, maybe I messed up. Wait, no, the problem says "Tiana wants her milkshake to have a stronger peanut butter flavor, so she uses more peanut butter than Whitney." Wait, Whitney's peanut butter is 6 ounces? So Tiana's \( p \) (peanut butter) must be greater than 6? Wait, no, wait, maybe Whitney's peanut butter is 6? Wait, the options are \( p > 6 \), \( p > 12 \), \( p < 6 \), \( p < 12 \). Wait, maybe I misread Whitney's peanut butter. Wait, the problem: "Whitney uses 12 ounces of chocolate ice cream and 6 ounces of peanut butter in her milkshake. Tiana wants her milkshake to have a stronger peanut butter flavor, so she uses more peanut butter than Whitney." Wait, Whitney's peanut butter is 6 ounces. So Tiana needs more than 6? No, wait, no—wait, maybe Whitney's peanut butter is 6, and Tiana wants stronger, so more than 6? But the options include \( p > 12 \). Wait, maybe I misread the chocolate ice cream as peanut butter. Wait, no: "Whitney uses 12 ounces of chocolate ice cream and 6 ounces of peanut butter in her milkshake. Tiana wants her milkshake to have a stronger peanut butter flavor, so she uses more peanut butter than Whitney." Wait, no, maybe the problem is that Whitney's peanut butter is 6, and Tiana wants more than Whitney, so \( p > 6 \)? But that seems too low. Wait, maybe I made a mistake. Wait, let's check again. The problem says: "Whitney uses 12 ounces of chocolate ice cream and 6 ounces of peanut butter in her milkshake. Tiana wants her milkshake to have a stronger peanut butter flavor, so she uses more peanut butter than Whitney." Wait, no—wait, maybe "more peanut butter than Whitney"—Whitney's peanut butter is 6, so Tiana needs \( p > 6 \)? But the options have \( p > 12 \). Wait, maybe I misread the chocolate ice cream as peanut butter. Wait, no: "Whitney uses 12 ounces of chocolate ice cream and 6 ounces of peanut butter in her milkshake." So Whitney's peanut butter is 6. Tiana wants stronger, so more than 6? But that would be \( p > 6 \). But maybe the problem is that Whitney's peanut butter is 6, and Tiana wants more than Whitney, but maybe the chocolate ice cream is 12, and peanut butter is 6, so the ratio? No, the problem says "uses more peanut butter than Whitney"—so the amount of peanut butter Tiana uses (\( p \)) is greater than Whitney's peanut butter amount. Whitney's peanut butter is 6 ounces? Wait, no, maybe I misread: "Whitney uses 12 ounces of chocolate ice cream and 6 ounces of peanut butter in her milkshake." So peanut butter is 6. Tiana wants stronger, so more than 6, so \( p > 6 \)? But the options include \( p > 12 \). Wait, maybe the problem is that Whitney's milkshake has 12 ounces of chocolate and 6 of peanut butter, and Tiana wants a stronger peanut butter flavor, meaning more peanut butter than Whitney's peanut butter? No, maybe the problem is that Whitney's peanut butter is 6, and Tiana wants more than Whitney, so \( p > 6 \). But let's check the options. The options are \( p > 6 \), \( p > 12 \), \( p < 6 \), \( p < 12 \). Wait, maybe I made a mistake. Wait, the problem says "Tiana wants her milkshake to have a stronger peanut butter flavor, so she uses more peanut butter than Whitney." Wait, Whitney's peanut butter is 6, so Tiana needs \( p > 6 \). But maybe the problem is that Whitney's milkshake has 12 ounces of peanut butter? Wait, no, the text says "Whitney uses 12 ounces of chocolate ice cream and 6 ounces of peanut butter in her milkshake." So chocolate is 12, peanut butter is 6. So Tiana wants more peanut butter than Whitney, so \( p > 6 \). But let's confirm. If Whitney uses 6 ounces of peanut butter, and Tiana wants stronger, she needs more than 6, so \( p > 6 \). So the inequality is \( p > 6 \).

Step2: Conclusion

So the inequality that models the story is \( p > 6 \).

Answer:

\( p > 6 \)